You are taking a multiple choice quiz that consists of five questions.  Each question has four possible answers, only one which is correct.  To complete the quiz, you randomly guess the answer to each questions.  To three significant digits, find the probability of guessing:

1. exactly three questions correctly.
   {#1}
   
   
2. at least three answers correctly.
   {#2}
   
   
3. less than three answers correctly.
   {#3}

A sergical technique is performed on seven patients.  You are told there is a 70% chance of success.  To three significant digits, find the probability that the surgery is successful for:

1. exactly five patients.
   {#1}
   
   
2. at least five patients.
   {#2}
   
   
3. less than five patients.
   {#3}

Fifty-nine percent of men concider themselves professional baseball fans.  You randomly select 10 men and ask each if he considers himself a professional baseball fan.  To three significant digits, find the probability that the number who consider themselves baseball fans is:

1. exactly eight.
   {#1}
   
   
2. at eight.
   {#2}
   
   
3. less than eight.
   {#3}

Ten percent of adults say oatmeal raisen is their favorite cookie.  You randomly select 12 adults and ask each to name his or her favorite cookie.  To three significant digits, find the probability that the number who say oatmeal raisen is their favorite cookie is:

1. exactly four.
   {#1}
   
   
2. at least four.
   {#2}
   
   
3. less than four.
   {#3}

Twenty-one percent of vacationers say the primary purpose of their vacation is outdoor recreation.  You randomly select 10 vacationers and ask each to name the primary purpose of his or her vacation.  To three significant digits, find the probability that the number who say outdoor recreation is the primary purpose of their vacation is:

1. exactly three.
   {#1}
   
   
2. more than three.
   {#2}
   
   
3. at most three.
   {#3}

Seventy percent of married couples paid for their honeymoon themselves.  You randomly select 20 married couples and ask each if they paid for their honeymoon themselves.  To three significant digits, find the probability that the number of couples who say they paid for their honeymoon themselves is:

1. exacltly one.
   {#1}
   
   
2. more than one.
   {#2}
   
   
3. at most one.
   {#3}

Fifty-five percent of adults say cashews are their favorite kind of nut.  You randomly select 12 adults and ask each to name his or her favorite nut.  To three significant digits, find the probability that the number who say cashews are their favorite nut is:

1. exactly three.
   {#1}
   
   
2. at least four.
   {#2}
   
   
3. at most two.
   {#3}

Fourteen percent of workers believe they will need less than $250,000 when they retire.  You randomly select 10 workers and ask each how much money he or she thinks they will need for retirement.  To three significant digits, find the probability that the number of workers who say they will need less than $250,000 when they retire is:

1. exactly two.
   {#1}
   
   
2. more than six.
   {#2}
   
   
3. at most five.
   {#3}

Twenty-eight percent of college students say they use credit cards because of the rewards program.  You randomly select 10 college students and ask each to name the reason he or she uses credit cards.  To three significant digits, find the probability that the number of college students who say they use credit cards because of the rewards program is:

1. exactly two.
   {#1}
   
   
2. more than two.
   {#2}
   
   
3. between two and five inclusive.
   {#3}

Twenty-four percent of executives say that older workers have blocked their career advancement.  You randomly select 12 executives and ask if they feel that older workers have blocked their career advancement.  To three significant figures, find the probability that the number who say older workers have blocked their career advancement is:

1. exactly four.
   {#1}
   
   
2. more than four.
   {#2}
   
   
3. between four and eight inclusive.
   {#3}

Thirty-seven percent of women consider themselves fans of professional baseball.  You randomly select six women and ask each if she considers herself a fan of professional baseball.

1. Construct a binomial probability distribution to three significant figures.
   

   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»	«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»
   {#1}	{#2}
   {#3}	{#4}
   {#5}	{#6}
   {#7}	{#8}
   {#9}	{#10}
   {#11}	{#12}
   {#13}	{#14}

   
   
   
   
   
   
   
   
   
   
   
   
   
2. The graph of this binomial distribution is:
   {#15}
   
   
3. Find the mean, variance, and standard deviation of the binomial distribution to three significant figures.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#16}
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»§#963;«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«/math» {#17}
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#18}
   
   
4. What values of the random variable x would be considered unusual?
   {#19}

On in four adults say he or she has no trouble sleeping at night.  You randomly select five adults and ask each if he or she has no trouble sleeping at night.

1. Construct a binomial probability distribution to three significant figures.
   

   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»	«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»
   {#1}	{#2}
   {#3}	{#4}
   {#5}	{#6}
   {#7}	{#8}
   {#9}	{#10}
   {#11}	{#12}

2. The graph of the distributions is
   {#13}
   
   
3. Find the mean, variance, and standard deviation of the binomial distribution.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#14}
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»§#963;«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«/math» {#15}
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#16}
   
   
4. What values of the random variable x would be considered unusual?
   {#17}

Five percent of people in the United states eligible to donate blood actually do.  You randomly select four eligible blood donors and ask if they donate blood.

1. Construct a binomial probability distribution to three signigicant figures.
   

   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»	«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»
   {#1}	{#2}
   {#3}	{#4}
   {#5}	{#6}
   {#7}	{#8}
   {#9}	{#10}

   
   
   
2. The graph of the distribution is:
   {#11}
   
   
3. Find the mean, variance, and standard deviation of the binomial distribution
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#12}
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»§#963;«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«/math» {#13}
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#14}
   
   
4. What values of the random variable x would you consider unusual?
   {#15}
   
   

Thirty-eight percent of the people in the United States have type O⁺ blood.  You randomly select five Americans and ask them if their blood type is O⁺.

1. Construct a binomial probability distribution to three significant figures.
   

   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»	«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»
   {#1}	{#2}
   {#3}	{#4}
   {#5}	{#6}
   {#7}	{#8}
   {#9}	{#10}
   {#11}	{#12}

   
   
   
2. The graph of the binomial probability distribution is:
   {#13}
   
   
3. Find the mean, variance, and standard deviation of the binomial distribution
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#14}
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»§#963;«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«/math» {#15}
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#16}
   
   
4. What values of the random variable x would you consider unusual?
   {#17}

The graph shows the results of a survey of drivers who were asked to name the most annoying habit of other drivers. You randomly select six people who participated in the survey and ask each one of them to name the most anoying habit of other drivers.  Let x represent the number of drivers who named talking on cell phone as the most annoying habit.

1. Construct a binomial probability distribution to three significant figures.
   

   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»	«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»
   {#1}	{#2}
   {#3}	{#4}
   {#5}	{#6}
   {#7}	{#8}
   {#9}	{#10}
   {#11}	{#12}
   {#13}	{#14}

   
   
   
2. Find the probability that exactly two peaople will name "talking on cell phones."
   {#15}
   
   
3. Find the probability that at least five people will name "talking on cell phones."
   {#16}
   
   
4. Find the mean and standard deviation of the the binomial distribution.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#17}
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#18}
   
   

The graph shows the results of a survey of small-business owners who were asked which business skills they would like to develop further.  You randomly select five owners who participated in the survey and asked each one of them which business skills he or she wants to develop further.  Let x represent the number who said financial management was the skill they wanted to develop further.

1. Construct a binomial probability distribution to three significant figures.
   

   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»	«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»
   {#1}	{#2}
   {#3}	{#4}
   {#5}	{#6}
   {#7}	{#8}
   {#9}	{#10}
   {#11}	{#12}

   
   
   
2. Find the probability that exactly two owners will say "financial management."
   {#13}
   
   
3. Find the probability that fewr than four owners will say "financial management."
   {#14}
   
   
4. Find the mean and standard deviation of the binomial distribution.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#15}
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#16}
   
   
5. What values for x would you consider unusual?

1. x represents the number of motorcycle accidents in one year in California.
   {#1}
   
   
2. x represents the length of time it takes to get work.
   {#2}
   
   
3. x reprersents the volume of blood drawn for a blood test.
   {#3}
   
   
4. x represents the number of rainy days in the month of July in Orlando, Florida.
   {#4}
   
   
5. x represents the number of home theater systems sold per month at an electronics store.
   {#5}
   
   
6. x represents the tension at which a randomly selected guitar's strings have been strung.
   {#6}
   
   
7. x represents the amount of snow (in inches) that fell in Nome, Alaska last winter.
   {#7}
   
   
8. x represents the total number of die rolls required for an individual to roll a five.
   {#8}

A socioligist surveyed the households in a small town.  The random variable x represents the number of dependent children in the households.  Determine the probability distribution's missing probability value.

A sociologist surveyed the households in a neighboring town.  The random variable x represents the number of dependent children in the household.  Determine the probability distribution's missing probability.

A mechanic check the tire pressures on each car that he worked on for one week.  The random variable x represents the number of tires that were underinflated.  Decide whether the distribution is a probability distribution.  If it is not a probability distribution, identify the property (or properties) that are not satisfied.

A company recorded the number of phone lines in use per hour during one work day.  The random variable x represents the number of phone lines in use.  Decide whether the distribution is a probability distribution.  If it is not a probability distribution, identify the property (or properties) that are not satisfied.

A quality inspector cheched for imperfection in rolls of fabric for one week. The random variable x represents the number of imperfections found. Decide whether the distribution is a probability distribution. If it is not a probability distribution, identify the property (or properties) that are not satisfied.

A golf tournament director recorded the number of putts needed on a hole for the four rounds of the tournament.  The random variable x represents the number of putts needed on the hole.  Decide whether the distribution is a probability distribution.  If it is not a probability distribution, identify the property (or properties) that are not satisfied.

Use the frequency distribution to construct a probability distribution.

The number of dogs per household in a small town.

1.  

   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»	«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»
   0	{#1}
   1	{#2}
   2	{#3}
   3	{#4}
   4	{#5}
   5	{#6}

2. Find the probability of randomly selecting a household that has fewer than two dogs.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»§lt;«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»=«/mo»«/math» {#7}
   
   
3. Find the probability of randomly selecting a household that has at least one dog.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»§#8805;«/mo»«mn»1«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»=«/mo»«/math» {#8}
   
   
4. Find the probability of randomly selecting a household that has between one and three dogs, inclusive.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mrow»«mn»1«/mn»«mo»§#8804;«/mo»«mi»x«/mi»«mo»§#8804;«/mo»«mn»3«/mn»«/mrow»«/mfenced»«mo»§#160;«/mo»«mo»=«/mo»«/math» {#9}
   
   
5. Find the mean to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#10}
   
   
6. Find the variance to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»§#963;«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«/math» {#11}
7. Find the standard deviation to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#12}
   
   

Use the frequency distribution to construct a probability distribution.

The number of cats per household in a small town.

1. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»	«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»
   0	{#1}
   1	{#2}
   2	{#3}
   3	{#4}
   4	{#5}
   5	{#6}

2. Find the mean to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#7}
   
   
3. Find the variance to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»§#963;«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«/math» {#8}
   
   
4. Find the standard deviation to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#9}

Use the frequency distribution to construct a probability distribution.

The number of computers per household in a small town.

1. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»	«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»
   0	{#1}
   1	{#2}
   2	{#3}
   3	{#4}

2. Find the mean to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#5}
   
   
3. Find the variance to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»§#963;«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«/math» {#6}
   
   
4. Find the standard deviation to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#7}

Use the frequency distribution to construct a probability distribution.

The number of defects per batch of DVDs inspected.

1. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»	«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»
   0	{#1}
   1	{#2}
   2	{#3}
   3	{#4}
   4	{#5}
   5	{#6}

2. Find the mean to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#7}
   
   
3. Find the variance to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»§#963;«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«/math» {#8}
   
   
4. Find the standard deviation to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#9}

Use the frequency distribution to construct a probability distribution.

The number of overtime hours worked in one week per employee.

1. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»	«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»
   0	{#1}
   1	{#2}
   2	{#3}
   3	{#4}
   4	{#5}
   5	{#6}
   6	{#7}

2. Find the mean to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#8}
   
   
3. Find the variance to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»§#963;«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«/math» {#9}
   
   
4. Find the standard deviation to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#10}

Use the frequency distribution to construct a probability distribution.

The number of school-related extracurricular activities per student.

1. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math»	«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/math»
   0	{#1}
   1	{#2}
   2	{#3}
   3	{#4}
   4	{#5}
   5	{#6}
   6	{#7}
   7	{#8}

2. Find the mean to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#9}
   
   
3. Find the variance to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»§#963;«/mi»«mn»2«/mn»«/msup»«mo»=«/mo»«/math» {#10}
   
   
4. Find the standard deviation to 3 significant digits.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#11}

Students in a class take a quiz with eight questions.  The number x of questions answered correctly can be approximated by the following probability distribution. 

1. Find the mean of the probability distribution to three significant digits.
   {#1}
   
   
2. Find the variance of the probability distribution to three significant digits.
   {#2}
   
   
3. Find the standard deviation of the probability distribution to three significant digits.
   {#3}
   
   
4. Find the expected value of the probability distribution to three significant digits.
   {#4}

A 911 service center recorded the number of calls received per hour.  The number of calls per hour for one week can be approximated by the following probability distribution.  

1. Find the mean of the probability distribution to three significant digits.
   {#1}
   
   
2. Find the variance of the probability distribution to three significant digits.
   {#2}
   
   
3. Find the standard deviation of the probability distribution to three significant digits
   {#3}
   
   
4. Find the expected value of the probability distribution to three significant digits.
   {#4}

The histogram shows the distribution of hurricanes that have hit the U.S. mainland by category, with 1 the weakest level and 5 the strongest.

1. Find the mean of the probability distribution to three significant digits.
   {#1}
   
   
2. Find the variance of the probability distribution to three significant digits.
   {#2}
   
   
3. Find the standard deviation of the probability distribution to three significant digits.
   {#3}
   
   
4. Find the expected value of the probability distribution to three significant digits
   {#4}

The histogram shows the distribution of occupants in cars crossing the Tocoma Narrows Bridge in Washington each week.

1. Find the mean of the probability distribution to three significant digits.
   {#1}
   
   
2. Find the variance of the probability distribution to three significant digits.
   {#2}
   
   
3. Find the standard deviation of the probability distribution to three significant digits.
   {#3}
   
   
4. Find the expected value of the probability distribution to three significant digits.
   {#4}

The histogram shows the distribution of household sizes in the United States for a recent year.

1. Find the mean of the probability distribution to three significant digits.
   {#1}
   
   
2. Find the variance of the probability distribution to three significant digits.
   {#2}
   
   
3. Find the standard deviation of the probability distribution to three significant digits.
   {#3}
   
   
4. Find the expected value of the probability distribution to three significant digits.
   {#4}

The histogram shows the distribution of carpooling by the number of cars per household.

1. Find the mean of the probability distribution to three significant digits.
   {#1}
   
   
2. Find the variance of the probability distribution to three significant digits.
   {#2}
   
   
3. Find the standard deviation of the probability distribution to three significant digits.
   {#3}
   
   
4. Find the expected value of the probability distribution to three significant digits.
   {#4}

00, 0, 1, 2, 3, ..., 34, 35, and 36

marked on equally spaced slots.  If a player bets $1 on a number and wins, then the player keeps the dollar and receives an additional 35 dollars.  Otherwise, the dollar is lost.  Find the expected net gain to the player for one play of the game to the nearest cent.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»E«/mi»«mfenced»«mi»x«/mi»«/mfenced»«mo»=«/mo»«/math» ${#1}

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»E«/mi»«mfenced»«mi»x«/mi»«/mfenced»«mo»=«/mo»«/math» ${#1}

What is the standard deviation of the standard normal distribution? «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#2}

1. To the left of z = 1.36
   {#1}
   
   
2. To the left of z = 1.96
   {#2}
   
   
3. To the right of z = -0.65
   {#3}
   
   
4. To the right of z = 1.28
   {#4}
   
   
5. To the left of z = -2.575
   {#5}
   
   
6. To the right of z = 1.615
   {#6}
   
   
7. Between z = 0 and z = 1.54
   {#7}
   
   
8. Between z = -1.53 and z = 0
   {#8}
   
   
9. Between z = -1.96 and z = 1.96
   {#9}
   
   
10. To the left of z = -1.28 and to the right of z = 1.28
    {#10}

1. To the left of z = 0.08
   {#1}
   
   
2. To the left of z = 1.28
   {#2}
   
   
3. To the right of z = -1.95
   {#3}
   
   
4. To the right z = 3.25
   {#4}
   
   
5. To the left of z = -3.16
   {#5}
   
   
6. To the right of z = 2.51
   {#6}
   
   
7. Between z = 0 and z = 2.86
   {#7}
   
   
8. Between z = -0.51 and z = 0
   {#8}
   
   
9. Between z = -2.33 and z = 2.33
   {#9}
   
   
10. To the left of z = -1.96 and to the right of z = 1.96
    {#10}

You work for a consumer watchdog publication and are testing the advertising claims of a lightbulb manufacturer.  The manufacturer claims that the life span of the bulb is normally distributed, with a mean of 2000 hours and a standard deviation of250 hours.  You test 20 lightbulbs and get the following life spans.

1. Use your graphing calculator to to construct a frequency histogram of the data with 5 classes.  Is it reasonable to assume that the life span is normally distributed?
   {#1}
   
   
2. Find the mean and standard deviation of your sample to three significant figures.
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#956;«/mi»«mo»=«/mo»«/math» {#2}
   «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math» {#3}
   
   

1. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»§#956;«/mi»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«/msub»«mo»=«/mo»«mo»§#160;«/mo»«/math»{#1}
   
   
2. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»§#963;«/mi»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«/msub»«mo»=«/mo»«mo»§#160;«/mo»«/math»{#2}

1. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»§#956;«/mi»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«/msub»«mo»=«/mo»«mo»§#160;«/mo»«/math»{#1}
   
   
2. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»§#963;«/mi»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«/msub»«mo»=«/mo»«mo»§#160;«/mo»«/math»{#2}

1. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»§#956;«/mi»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«/msub»«mo»=«/mo»«mo»§#160;«/mo»«/math»{#1}
   
   
2. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»§#963;«/mi»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«/msub»«mo»=«/mo»«mo»§#160;«/mo»«/math»{#2}

1. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»§#956;«/mi»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«/msub»«mo»=«/mo»«mo»§#160;«/mo»«/math»{#1}
   
   
2. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»§#963;«/mi»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«/msub»«mo»=«/mo»«mo»§#160;«/mo»«/math»{#2}

As the size of the sample increases, the mean of the distribution  of sample means increase.

As the size of the sample increases, the standard deviation of the distribution of the sample means increases.

A sampling distribution is only normal if the population is normal.

If the size of a sample is at least 30, you can use z-scores to determine the probability that a sample mean falls in a given interval of the sampling distribution.

The heights of fully grown sugar maple trees are normally distributed, with a mean of #m feet and a standard deviation of #sd feet.  Random samples of size #n are drawn from the population and the mean of each sample is determined.

1. What is the mean of the sampling distribution? {#1}
   
   
2. What is the standard error of the mean? {#2}
   

The mean price of digital cameras at an electronics store is $#m, with a standard deviation of $#sd.  Random samples of size #n are drawn from this population and the mean of each sample is determined

1. What is the mean of the sampling distribution?  ${#1}
   
   
2. What is the standar error of the sampling distribution?  ${#2}

The per capita consumption of red meat by people in the United states in a recent year is was normally distributed, with a mean of #m pounds and a standard deviation of #sd pounds.  Random samples of size #n are drawn from this population and the mean of each sample is determined.

1. What is the mean of the sampling distribution?  {#1}lbs
   
   
2. What is the standard error of the sampling distribution?  {#2}lbs

The population mean annual salary for plumbers is $46,700.  A random sample of 42 plumbers is drawn from this population.  What is the probability (to three significant figures) that the mean salary of the sample is less than $44,000?  Assume «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math»$5600.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mrow»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«mo»§lt;«/mo»«mo»$«/mo»«mn»44«/mn»«mo»,«/mo»«mn»000«/mn»«/mrow»«/mfenced»«mo»=«/mo»«/math» {#1}

During a certain week the mean price of gasoline in the New England region was $2.818 per gallon.  A random sample of 32 gass stations is drawn from this population.  What is the probability that the mean price for the sample was between $2.768 and $2.918 that week?  Assume «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math»$0.045.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mrow»«mo»$«/mo»«mn»2«/mn»«mo».«/mo»«mn»768«/mn»«mo»§lt;«/mo»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«mo»§lt;«/mo»«mn»2«/mn»«mo».«/mo»«mn»918«/mn»«/mrow»«/mfenced»«mo»=«/mo»«/math» {#1}

The mean height of a woman in the United States (ages 20-29) is 64.1 inches.  A random sample of 60 women in this age group is selected.  What is the probability that the mean height for the sample is greater than 66 inches?  Assume «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#963;«/mi»«mo»=«/mo»«/math»2.71.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mo»(«/mo»«mover»«mi»x«/mi»«mo»§#175;«/mo»«/mover»«mo»§#62;«/mo»«mn»66«/mn»«mo»§#160;«/mo»«mtext»inches)«/mtext»«mo»=«/mo»«/math»{#1}

A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 128 ounces and a standard deviation of 0.20 ounce.  You randomly select 40 cans and carefully measure the contents.  The sample mean of the cans is 127.9 ounces.  Does the machine need to be reset?  Explain your reasoning.

Your lumber company has bought a machine that automatically cuts lumber.  The seller of the machine claims that the machine cuts lumber to a mean length of 8 feet (96 inches) with a standard deviation of 0.5 inch.  Assume the lengths are normally distributed.  You randomly select 40 boards and find that the mean length is 96.25 inches.

1. Assuming that the seller's claim is correct, what is the probability the mean of the sample is 96.25 inches or more? {#1}
   
   
2. Using your answer from question 1, what do you think of the seller's claim?
   {#2}
   
   
3. Would it be unusual to have an individual board with a length of 96.25 inches?  Why or why not?
   {#3}

«math style=¨font-size:14px;font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»§lt;«/mo»«mn»80«/mn»«/mrow»«/mfenced»«mo»=«/mo»«/math» {#1}

«math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»§lt;«/mo»«mn»100«/mn»«/mrow»«/mfenced»«mo»=«/mo»«/math» {#1}

«math style=¨font-size:14px;font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»§#62;«/mo»«mn»92«/mn»«/mrow»«/mfenced»«mo»=«/mo»«/math» {#1}

«math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»§#62;«/mo»«mn»75«/mn»«/mrow»«/mfenced»«mo»=«/mo»«/math» {#1}

«math style=¨font-size:14px;font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mrow»«mn»70«/mn»«mo»§lt;«/mo»«mi»x«/mi»«mo»§lt;«/mo»«mn»80«/mn»«/mrow»«/mfenced»«mo»=«/mo»«/math» {#1}

«math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»P«/mi»«mfenced»«mrow»«mn»85«/mn»«mo»§lt;«/mo»«mi»x«/mi»«mo»§lt;«/mo»«mn»95«/mn»«/mrow»«/mfenced»«mo»=«/mo»«/math» {#1}

Answer: {#1}

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A survey was conducted to measure the height of U.S. men.  In the survey, respondents were grouped by age.  In the 20-29 age group, the heights were normally distributed, with a mean of 69.6 inches and a standard deviation of 3.0 inches.  A study participant is randomly selected.

1. Find the probability to three significant figures that his height is less than 66 inches.  {#1}
   
   
2. Find the probability to three significant figures that his height is between 66 and 72 inches.  {#2}
   
   
3. Find the probability to three significant figures that his height is more than 72 inches. {#3}

The lengths of Atlantic croaker fish are normally distributed, with a mean of 10 inches and a standard deviation of 2 inches.  An Atlantic croaker fish is randomly selected.

1. Find the probability to three significant figures that the length of the fish is less than 7 inches.  {#1}
   
2. Find the probability to three significant figures that the length of the fish is between 7 and 15 inches.  {#2}
   
   
3. Find the probability to three significant figure that the length of the fish is more than 15 inches.  {#3}

In a recent year, the ACT scores for high school students with a 3.50 to 4.00 grade point average were normally distributed, with a mean of 24.2 and a standard deviation of 4.3.  A student with a 3.50 to 4.00 grade point average who took the ACT during this time is randomly selected.

1. Find the probability to three significant figures that the student's ACT score is less than 17.  {#1}
   
   
2. Find the probability to three significant figures that the student's ACT score is between 20 and 29.  {#2}
   
   
3. Find the probability to three significant figures that the student's ACT score is more than 32.  {#3}

The weights of adult male beagles are normally distributed, with a mean of 25 pounds and a standard deviation of three pounds.  A beagle is randomly selected.

1. Find the probability to three significant figures that the beagle's weight is less than 23 pounds.  {#1}
   
2. Find the probability to three significant figures that the beagle's weight is between 23 and 25 pounds.  {#2}
   
   
3. Find the probability to three significant figures that the beagle's weight is more than 27 pounds.  {#3}

A survey was conducted to measure the number of hours per week adults in the United states spend on home computers.  In the survey, the number of hours were normally distributed, with a mean of 7 hours and a standard deviation of 1 hour.  A survey participant is randomly selected.

1. Find the probability to three significant figures that the hours spent on the home computer by the participant are less than 5 hours per week.  {#1}
   
   
2. Find the probability to three significant figures that the hours spent on the home computer by the participant is between 5.5 and 9.5 hours per week.  {#2}
   
   
3. Find the probability to three significant figures that the hours spent on the home computer by the participant are more than 10 hours per week.  {#3}

The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12.  A utility bill is randomly selected.

1. Find the probability to three significant figures that the utility bill is less than $70.  {#1}
   
2. Find the probability to three significant figures that the utility bill is between $90 and $120.  {#2}
   
   
3. Find the probability to three significant figures that the utility bill is more than $140.  {#3}

The time per week a student uses a lab computer is normally distributed, with a mean of 6.2 hours and a standard deviation of 0.9 hour.  A student is randomly selected.

1. Find the probability to three significant figures that the student uses a lab computer less than 4 hours per week.  {#1}
   
2. Find the probability to three significant figures that the student uses a lab computer between 5 and 7 hours per week.  {#2}
   
   
3. Find the probability to three significant figures that the student uses a lab computer more than 8 hours a week.  {#3}

The time per workout an athlete uses a stairclimber is normally distributed, with a mean of 20 minutes and a standard deviation of 5 minutes.  An athlete is randomly selected.

1. Find the probability to three significant figures that the athlete uses a stairclimber for less than 17 minutes.  {#1}
   
2. Find the probability to three significant figures that the athlete uses a stairclimber between 20 and 28 minutes.  {#2}
   
   
3. Find the probability to three significant figures that the athlete uses a stairclimber more than 30 minutes.  {#3}

The normal distribution of SAT critical reading scores for a certain year has a mean of 503 and a standard deviation of 113.

1. What percent (to three significant figures) of the SAT verbal scores are less than 600?
   {#1}%
   
   
2. If 1000 SAT verbal scores are randomly selected, about how many would you expect to be greater than 550? (round your answer to the test result)
   {#2}

The normal distribution of SAT math scores for a certain year has a mean of 518 and a standard deviation of 115.

1. What percent (to three significant figures) of the SAT math scores are less than 500?
   {#1}%
   
   
2. If 1500 SAT math scores are randomly selected, about how many would you expect to be greater than 600? (round your answer to the test result)
   {#2}

The normal distribution of U.S. woman's total cholesterol levels in the age group of 20-34 has a mean of 186 milligrams per deciliter and a standard deviation of of 35.8 milligrams per deciliter.

1. What percent of the women (to three significant figures)  have a total cholesterol level less than 200 milligrams per deciliter of blood?
   {#1}%
   
   
2. If 250 U.S. women in the 20-34 age group are randomly selected, about how many would you expect to have a total cholesteral level greater than 240 milligrams per deciliter of blood?  (round your answer to the nearest woman)
   {#2} women

The normal distribution of U.S. woman's total cholesterol levels in the age group of 55-64 has a mean of 219 milligrams per deciliter and a standard deviation of of 41.6 milligrams per deciliter.

1. What percent of the women (to three significant figures)  have a total cholesterol level less than 239 milligrams per deciliter of blood?
   {#1}%
   
   
2. If 200 U.S. women in the 55-64 age group are randomly selected, about how many would you expect to have a total cholesteral level greater than 200 milligrams per deciliter of blood?  (round your answer to the nearest woman)
   {#2} women

The normal distribution for Atlantic croaker fish lengths has a mean of 10 inches and a standard deviation of 2 inches.

1. What percent (to three significant figures) of fish are longer than 11 inches?
   {#1}%
   
   
2. If 200 Atlantic croakers are randomly selected, about how many would you expect to be shorter than 8 inches?  (round to the nearest fish)
   {#2} fish

The normal distribution of the weight of adult male beagles has a mean of 25 pounds and a standard deviation of 3 pounds.

1. What percent (to three significant figures) of the beagles have a weight that is greater than 30 pounds?
   {#1}%
   
   
2. If 50 beagles are randomly selected, about how many would you expect to weight less than 22 pounds? (round your answer to the nearest beagle)
   {#2} beagles

The normal distribution of home computer use in U.S adults has a mean of 7 hours and a standard deviation of 1 hour.

1. What percent (to three significant figures) of adults spend more than 4 hours per week on a home computer?
   {#1}%
   
   
2. If 35 adults in the United States are randomly selected, about how many would you expect to say they spend less than 5 hours per week on a home computer?  (round your answer to the nearest adult)
   {#2} adult(s)

The normal distribution of monthly utility bills in a city has a mean of $100 and a standard deviation of $12.

1. What percent (to three significant figures) of the utulity bills are more than $125?
   {#1}%
   
   
2. If 300 utility bills are randomly selected, about how many would you expect to be less than $90?  (round your answer to the nearest bill)
   {#2} bill(s)

The life span of a battery is normally distributed, with a mean of 2000 hours and a standard deviation of 30 hours.  

1. What percent (to three significant figures) of batteries have a life span that is more than 2065 hours?
   {#1}%
   
   
2. Would it be unusual for a battery to have a life span that is more than 2065 hours?
   {#2}

Assume the mean annual consumption of peanuts is normally distributed, with a mean of 5.9 pounds per person and a standard deviation of 1.8 pounds per person.  

1. What percent (to three significant figures) of people annually consume less than 3.1 pounds of peanuts per person?
   {#1}%
   
   
2. Would it be unusual for a person to consume less than 3.1 pounds of peanuts in a year?
   {#2}

Answer: {#1}

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                                                 z = {#1}

                                                             z = {#1}

                                              z = {#1}

                                                                                        z = {#1}

                            z = {#1}                                 z = {#2}

                            z = {#1}                               z = {#2}

Answer: {#1}

Answer: {#1}

Answer: {#1}

Answer: {#1}

{#1}                                          {#2}

{#1}                                          {#2}

{#1}                                          {#2}

{#1}                                          {#2}

In a survey of women in the United States (ages 20-29), the mean height was 64.1 inches with a standard deviation of 2.71 inches.

1. What height represents the 95th percentile? {#1}
   
   
   
2. What height represents the first quartile? {#2}

In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches.

1. What height represents the 90th percentile?
   {#1} inches
   
   
2. What height represents the first quartile?
   {#2} inches

The annual per capita utilization of apples (in pounds) in the Uniteed States can be approximated by a normal distribution, as shown in the graph.

1. What annual per capita utilization of apples represents the 10th percentile?
   {#1} pounds
   
   
2. What annual per captita utilization of apples represents the third quartile?
   {#2} pounds

The annual per capita utilization of oranges (in pounds) in the United States can be approximated by a normal distribution, as shown in the graph.

1. What annual per captita utilization of oranges represents the 5th percentile?
   {#1} pounds
   
   
2. What annual per capita utilization of oranges represents the third quartile?
   {#2} pounds

The time spent (in days) waiting for a heart transplant in Ohio and Michigan for patients with type A+ blood can be approximated by a normal distribution, as shown in the graph.

1. What is the shortest time spent waiting for a heart that would still place a patient in the top 30% of waiting times?
   {#1} days
   
   
2. What is the longest time spent for a heart that would still place a patient in the bottom 10% of waiting times?
   {#2} days

The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by a normal distribution, as shown in the graph.

1. What is the smallest annual per capita consumption of ice cream that can be in the top 25% of consumptions?
   {#1} pounds
   
   
2. What is the largest annual per capita consumption of ice cream that can be in the bottom 15% of consumptions?
   {#2} pounds

The weights of the contents of a cereal box are normally distributed with a mean weight of 20 ounces and a standard deviation of 0.07 ounce.  Boxes in the lower 5% do not meet the minimum weight requirements and must be repackaged.  What is the minimum weight requirement for the cereal box?

Answer:{#1} ounces

The weights of bags of baby carrots are normally distributed with a mean of 32 ounces and a standard deviation of 0.36 ounce.  Bags in the upper 4.5% are too heavy and must be repackaged.  What is the most a bag of baby carrots can weigh and not need to be repackaged?

Answer:{#1} ounces

1. A combination is an ordered arrangement of objects.  
   {#1}
   
   
2. The number of different ordered arrangements of «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»n«/mi»«/math» distinct objects is «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»n«/mi»«mo»!«/mo»«/math»
   
   {#2}
   
   
3. If you devide the number of permutaions of 11 objects taken 3 at a time by 3!, you will get the number of combinations of 11 objects taken 3 at a time.  
   
   {#3}
   
   
4. «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mmultiscripts»«mi»C«/mi»«mn»5«/mn»«none/»«mprescripts/»«mn»7«/mn»«none/»«/mmultiscripts»«mo»=«/mo»«mmultiscripts»«mi»C«/mi»«mn»2«/mn»«none/»«mprescripts/»«mn»7«/mn»«none/»«/mmultiscripts»«/math»   
   {#4}

Space shuttle astronauts each consume an average of 3000 calories per day.  One meal normally consists of a main dish, a vegetable dish, and two different desserts.  The astronauts cam choose from #a main dishes, #b vegetable dishes, and #c desserts.  How many different meals are possible?

#a people compete in a downhill ski race.  Assuming that there are no ties, in how many different orders can the skiers finish?

In how many ways can the letters A, B, C, D, E, and F be arranged for a six-letter security code?

The starting lineup for a softball team consists of ten players.  How many different batting orders are possible using the starting lineup?

A Lottery has #a numbers. In how many different ways can #b of the numbers be selected?  (Assume that the order of selection is not important.)

There are #a processes involved in assembling a certain product.  These processes can be performed in order.  Management wants to find which order is the least time-consuming.  How many different orders will have to be tested?

A landscaper wants to plant #a oak trees, #b maple trees. and #c poplar trees along the border of a lawn.  The trees are to be spaced evenly apart.  In how many distinguishable ways can they be planted?

In order to conduct an experiment, #a subjects are randomly selected from a group of #b subjects.  How many different groups of #a subjects are possible?

In how many distinguishable ways can the letters in the word statistics be written?

From a group of #n people, a jury of #r people is selected.  In how many different ways can a jury of #r people be selected?

palmes

1. Find the number of distinguishable ways the letters can be arranged.
   {#1}
   
   
2. There is one arrangement that spells an inportant term used throughout the course.  Find the term.
   {#2}
   
   
3. If the letters are randomly arranged in order, what is the probability that the arrangement spells the word from part b.
   {#3}

nevte

1. Find the number of distinguishable ways the letters can be arranged.
   {#1}
   
   
2. There is one arrangement that spells an inportant term used throughout the course.  Find the term.
   {#2}
   
   
3. If the letters are randomly arranged in order, what is the probability that the arrangement spells the word from part b.
   {#3}

etre

1. Find the number of distinguishable ways the letters can be arranged.
   {#1}
   
   
2. There is one arrangement that spells an inportant term used throughout the course.  Find the term.
   {#2}
   
   
3. If the letters are randomly arranged in order, what is the probability that the arrangement spells the word from part b.
   {#3}

ediman

1. Find the number of distinguishable ways the letters can be arranged.
   {#1}
   
   
2. There is one arrangement that spells an inportant term used throughout the course.  Find the term.
   {#2}
   
   
3. If the letters are randomly arranged in order, what is the probability that the arrangement spells the word from part b.
   {#3}

unoppolati

1. Find the number of distinguishable ways the letters can be arranged.
   {#1}
   
   
2. There is one arrangement that spells an inportant term used throughout the course.  Find the term.
   {#2}
   
   
3. If the letters are randomly arranged in order, what is the probability that the arrangement spells the word from part b.
   {#3}

sidtbitoiurn

1. Find the number of distinguishable ways the letters can be arranged.
   {#1}
   
   
2. There is one arrangement that spells an inportant term used throughout the course.  Find the term.
   {#2}
   
   
3. If the letters are randomly arranged in order, what is the probability that the arrangement spells the word from part b.
   {#3}

A horse race has #a entries.  Assuming that there are no ties, what is the probability that the tree horses owned by one person finish first, second, and third?

A pizza shop offers #t.  No topping can be used more than once.  What is the probability that the toppings on the pizza are pepperoni, onions, and mushrooms?

You look over the songs on a jukebox and determine that you like #r of the #n songs.

1. What is the probability that you like the next #a songs that are played?  Assume a song cannot be repeated.
   {#1}
   
   
2. What is the probability that you do not like the next #a songs that are played?  Assume a song cannot be repeated.
   {#2}

The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of #n candidates.  Six of the candidates are members of the debate team.

1. What is the probability that all of the offices will be filled by members of the debate team?
   {#1}
   
   
2. What is the probability that none of the offices are filled by members of the debate team?
   {#2}

1. there are no restrictions?
   {#1}
   
   
2. the selection must include a sales representative from each region?
   {#2}
   
   
3. What is the probability that the four sales representatives chosen to participate in the training program will be from only two of the four regions if they are chosen at random?
   {#3}

In a certain state, each automobile license plate number consists of #a letters followed by a #b-digit number.  How many distinct license plate numbers can be formed if:

1. there are no restrictions?
   {#1}
   
   
2. the letters O and I are not used?
   {#2}
   
   
3. What is the probability of selecting at randoma license plate that ends in an even number?
   {#3}

A password consists of #a letters followed by a #b-digit number.  How many passwords are possible if:

1. there are no restrictions?
   {#1}
   
   
2. none of the letters or digits can be repeated?
   {#2}
   
   
3. What is the probability of guessing the password in one trial if there are no restrictions?
   {#3}

An ares code consists of three digits.  How many area codes are possible if:

1. there are no restrictions?
   {#1}
   
   
2. the first digit cannot be a 1 or a 0?
   {#2}
   
   
3. What is the probability of selecting an area code at random that ends in an odd number if the first digit cannot be a 1 or a 0.
   {#3}

In how many orders can #a broken computers and #b broken printers be repaired if:

1. there are no restrictions?
   {#1}
   
   
2. the printers must be repaired first?
   {#2}
   
   
3. the computers must be repaired first?
   {#3}
   
   
4. If the order of repairs has no restrictions and the order of repairs is done at random, what is the probability that a printer will be repaired first?
   {#4}

A shipment of #a microwave ovens contains #b defective units.  In how many ways can a restaurant buy three of these units and recieve:

1. no defective units?
   {#1}
   
   
2. one defective unit?
   {#2}
   
   
3. at least two nondefective units?
   {#3}
   
   
4. What is the probability of the restaurant buying at least two defective units?
   {#4}

In a state lottery, you must select #r numbers (in any order) out of #n correctly to win the top prize.

1. How many ways can 5 numbers be chosen from 40 numbres?
   {#1}
   
   
2. You purchase one lottery ticket.  What is the probability of winning the top prize?
   {#2}

A company that has #n employees chooses a committee of #r to represent employee retirement issues.  When the committee was formed, none of the #m minority employees were selected.

1. Find the number of ways #r employees can be chosen from #n.
   {#1}
   
   
2. Find the number of ways #r employees can be chosen from #b nonminorities.
   {#2}
   
   
3. If the committee was chosen randomly (without bias), what is the probability that it contained no minorities?
   {#3}
   
   
4. Does your answer to part 3 indicate that the committee selection was biased?
   {#4}

You are dealt a hand of five cards from a standard deck of playing cards.  Find the probability of being dealt a hand consisting of:

1. four-of-a-kind.
   {#1}
   
   
2. a full house which consists of 1 three-of-a-kind and 1 two-of-a-kind.
   {#2}
   
   
3. three-of-a-kind.  (The other cards are different from each other.)
   {#3}
   
   
4. two clubs and one of each other suits.
   {#4}

1. all first-shift workers.
   {#1}
   
   
2. all second-shift workers.
   {#2}
   
   
3. six first-shift workers.
   {#3}
   
   
4. four second-shift workers.
   {#4}

1. two events that are mutually exclusive.
2. two events that are not mutually exclusive.

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1. 
   {#1}
   
   
2. 
   {#2}

Event A: Randomly select a female worker.
Event B: Randomly select a worker with a college degree.
{#1}

Event A: Randomly select a member of U.S. Congress.
Event B: Randomy select a male U.S. Senator.
{#2}

Event A: Randomly select a person between 18 and 24 years old.
Event B: Randomly select a person between 25 and 34 years old.
{#3}

Event A: Randomly select a person between 18 and 24 years old.
Event B: Randomly select a person earning between $20,000 and $29,999.
{#4}

1. Are the events "selecting a week that contained overtime wages" and "selecting a week that contained temporary help wages" mutually exclusive?  {#1}
2. If an auditor randomly examined the payroll records for only one week, what is the probability that the payroll for that week contained overtime wages or temporary help wages?
   {#2}

1. Are the events "selecting a woman student" and "selecting a business major" mutually exclusive?  {#1}
2. If the college newspaper conducts a poll and selects students at random to answer a survey, find the probability that a selected student is a woman or a business major.  {#2}

1. Are the events "selecting a carton with a puncture" and "selecting a carton with a smashed corner" mutually exclusive?  {#1}
2. If a quality control inspector randomly selects a carton, find the probability that the carton has a puncture or a smashed corner.  {#2}

1. Are the events "selecting a can without a puncture" and "selecting a can without a smashed edge" mutually exclusive?  {#1}
2. If a quality inspector randomly selects a can, find the probability that the can does not have a puncture or does not have a smashed edge.  {#2}

1. Randomly selecting a diamond or a 7  {#1}
2. Randomly selecting a red suit or a queen  {#2}
3. Randomly selecting a 3 or a face card  {#3}

1. Rolling a 6 or a number greater than 4  {#1}
2. Rolling a number less than 3 or an even number  {#2}
3. Rolling a 3 or an even number  {#3}

1. Randomly selecting someone under five years old  {#1}
2. Randomly selecting someone who is not 65 or older  {#2}
3. Randomly selecting someone who is between 18 and 34 years old  {#3}

1. Randomly selecting a car with two occupants  {#1}
2. Randomly selecting a car with two or more occupants  {#2}
3. Randomly selecting a car with between two and five occupants, inclusive  {#3}

1. Randomly selecting a person from the sample who is not completely satisfied with the quality of education  {#1}
2. Randomly selecting a person from the sample who is somewhat dissatisfied or completely dissatisfied with the quality of education  {#2}

1. Randomly selecting a person from the sample who feels the biggest  problem with the movies is that movies are not as good as they used to be  {#1}
2. Randomly selecting a person from the sample who feels the biggest problem with the movies is not that movies have too much violence or that the tickets cost too much  {#2}

1. The student is male or a nursing major.  {#1}
2. The student is female or not a nursing major.  {#2}
3. The student is not female or a nursing major.  {#3}
4. Are the events "being male" and "being a nursing major" mutually exclusive?  {#4}

1. The person is left-handed or a woman.  {#1}
2. The person is right-handed or a man.  {#2}
3. The person is not right-handed or a man.  {#3}
4. The person is a right-handed woman.  {#4}
5. Are the events "being right-handed" and "being a woman" mutually exclusive?  {#5}

1. The person is frequently or occationaly involved in charity work.  {#1}
2. The person is female or not involved in charity work.  {#2}
3. The person is male or frequently involved in charity work.  {#3}
4. The person is female or not frequently involved in charity work.  {#4}
5. Are the events "being female" and "being frequently involved in charity work" mutually exclusive?  {#5}

1. The person wears contacts or glasses.  {#1}
2. The person is male or wears both contacts and glasses.  {#2}
3. The person is female or wears neither contacts or glasses.  {#3}
4. The person is male or does not wear glasses.  {#4}
5. Are the events "wearing contacts" and "wearing both contacts and glasses" mutually exclusive?  {#5}