The graph below 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 participate in the survey and ask each one of them to name the most annoying habit of other drivers. Let x represent the number who named talking on the cell phone as the most annoying habit. Complete parts (a) through (c).
Talking on cell phone 35%
Slow drivers in fast lane 22%
Pushy drivers who tailgate 18%
Weave through traffic 13%
a) Construct a binomial distribution
Find the probability of each value of x to construct the binomial distribution.
B)Find the probability that exactly two people will name "talking on cell phones".
C) Find the probability that at least five people will name "talking on the cell phones."
The solution provides step by step method for the calculation of binomial probabilities. Formula for the calculation and Interpretations of the results are also included.