If the continuous random variable X is uniformly distributed over the interval [15, 25], then the mean of X is:
A) 40 .
B) 25 .
C) 20 .
D) 15 .

Name: If the continuous random variable X is uniformly distributed over the interval [15, 25], then the mean of X is: A) 40 . B) 25 . C) 20 . D) 15 .
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Question

If the continuous random variable X is uniformly distributed over the interval [15, 25], then the mean of X is: 
A) 40 .
B)  25 .
C)  20 .
D) 15 .

Quizplus · Accepted Answer

By definition of the uniform distribution, the mean of X is the average of the endpoints of the interval:

mean(X) = (15 + 25) / 2 = 20

Therefore, the answer is C.

If the Continuous Random Variable X Is Uniformly Distributed Over