A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled.
A) 60
B) 50
C) 7.1
D) 4.3

Question

Quizplus · Accepted Answer

The standard deviation for the number of successes in a binomial experiment with n trials and probability of success p is given by the formula:

SD = √(np(1-p))

Here, n = 360 and p = 1/6 (since there is one chance in six of rolling a 3).

SD = √(360(1/6)(5/6))

SD = 7.1

Therefore, the standard deviation for the number of 3s that will be rolled is 7.1.

A Die Is Rolled 360 Times