A researcher reports that the probability of a college student living on campus is p = .38.If a small local college has 2,000 students enrolled,then what is the standard deviation of college students living on campus? Hint: This is a binomial probability distribution.
A) 471.2 students
B) 21.7 students
C) 760 students
D) There is not enough information to answer this question.

Question

Quizplus · Accepted Answer

The standard deviation of a binomial distribution is given by the formula:

sqrt(np(1-p))

where n is the sample size and p is the probability of success.

In this case, n = 2000 and p = 0.38.

Therefore,

sqrt(2000*0.38*(1-0.38)) = 21.7 students

Therefore, choice B is the correct answer.

A Researcher Reports That the Probability of a College Student