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}