Question

Eighty percent of the students in a class of 100 are planning to go to graduate school. What is the standard deviation of this binomial distribution?

a. 4
b. 10
c. 16
d. 80

Answer 1

The standard deviation of the binomial distribution is 4.

Step-by-step explanation:

The standard deviation of a binomial distribution can be calculated using the formula:

sd = sqrt(np(1-p))

In this case, there are 100 students and the probability of a student planning to go to graduate school is 0.8. So the standard deviation is:

sd = sqrt(100*(0.8)*(1-0.8)) = sqrt(16) = 4

The correct answer is a. 4.