Exhibit 6-1
Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28.
-Refer to Exhibit 6-1. The variance of x is approximately
A)2.309
B)5.333
C)32
D)0.667

Question

Quizplus · Accepted Answer

The formula to find the variance of a uniform distribution is Var(x) = (b-a)^2/12, where a and b are the endpoints of the interval. 
In this case, a=20 and b=28, so Var(x) = (28-20)^2/12 = 5.333. Therefore, the answer is B.

Exhibit 6-1 Consider the Continuous Random Variable X, Which Has a Uniform