A magazine reported that 6% of American drivers admit to reading the newspaper while driving. If 500 drivers are selected at random, find the probability that exactly 40 will admit to reading the newspaper while driving.

Question

Quizplus · Accepted Answer

This is a binomial distribution problem, where the number of successes (drivers who admit to reading the newspaper while driving) out of a sample of size 500 follows a binomial distribution with parameters n = 500 and p = 0.06.

The probability of exactly 40 drivers admitting to reading the newspaper while driving is then:

P(X = 40) = (500 choose 40) * 0.06^40 * (1-0.06)^(500-40)

Using a calculator or software, we find that:

P(X = 40) = 0.0134 or approximately 1.3%

Therefore, the best choice is C.

A Magazine Reported That 6% of American Drivers Admit to Reading