It is believed that 15% of people who fly on commercial airliners are "very concerned" about the safety of the carrier they have chosen.If this statement is accurate, what is the probability that out of 150 randomly selected people who fly on commercial airliners, between 20 and 25 of them are "very concerned" about the safety of the carrier that they have chosen?
A) 0.1333
B) 0.0333
C) 0.4314
D) 0.7157

Question

Quizplus · Accepted Answer

We can use the binomial probability formula to solve this problem. Let X be the number of people out of 150 who are "very concerned" about the safety of their carrier. Then X has a binomial distribution with n=150 and p=0.15. We want to find P(20<=X<=25). We can use a calculator or software to find this probability. Using a calculator, we get P(20<=X<=25) = 0.4314. Therefore, the best choice is C.

It Is Believed That 15% of People Who Fly on Commercial