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}