Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard deviation of this binomial distribution is
A)20
B)16
C)4
D)2

Question

Quizplus · Accepted Answer

The standard deviation of a binomial distribution is given by the formula sqrt(np(1-p)), where n is the number of trials and p is the probability of success. In this case, n = 100 and p = 0.2, so the standard deviation is sqrt(100 * 0.2 * 0.8) = 4.

Twenty Percent of the Students in a Class of 100