Exhibit 6-3
Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28.
-Refer to Exhibit 6-3. The variance of X is approximately
A)2.309
B)5.333
C)32
D)0.667

Question

Quizplus · Accepted Answer

The formula for calculating the variance of a uniform distribution is:

Var(X) = (b - a)^2 / 12

where a and b are the minimum and maximum values of the interval.

In this case, a = 20 and b = 28, so:

Var(X) = (28 - 20)^2 / 12 = 5.333

Therefore, the variance of X is approximately 5.333.

Option B is the correct answer.

Exhibit 6-3 Consider the Continuous Random Variable X, Which Has a Uniform