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 participated 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 cell phones as the most annoying habit. Complete parts a through (A) through (C).
a) Construct a binomial distribution.
b) Find the probability of each value of x to construct the binomial distribution.
Taking on cell phone 25% X P(X)
Slow drivers in fast lane... 22%
Pushy drivers who tailgate 18% 0 _____
Weave through traffic 13%
Other 29% 1 ______
(Do not round the final answer. Then round to the nearest thousandth as needed.)
b) Find the probability that exactly two people will name "talking on cell phone."
P (2) =_____
(Round to the nearest thousandth as needed).
c) Find the probability that at least five people will name talking on cell phones.
P(X is not greater than 5 = _____.
Round to the nearest thousandth as needed).
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.