The Canada Safety Council reported that $8 \%$ of Canadian drivers read while driving. If 500 drivers are selected at random, find the probability that exactly 40 will admit to reading while driving.

Question

Quizplus · Accepted Answer

This is a binomial distribution problem with $n=500$, $p=0.08$, and $x=40$.

The probability mass function for a binomial distribution is given by $P(X=x)={n\choose x}p^x(1-p)^{n-x}$.

Substituting the values, we get $P(X=40)={500\choose 40}(0.08)^{40}(0.92)^{460}\approx 0.0656$.

Converting to percentage, we get $\boxed{	ext{(C)}\ 6.56\%}$ as the answer.

The Canada Safety Council Reported That 8%8 \%8% Of Canadian Drivers Read While Driving

The Canada Safety Council Reported That $8 \%$ Of Canadian Drivers Read While Driving