The uniform distribution defined over the interval from 25 to 40 has the probability density function
A)f(x) = 1/40 for all x
B)f(x) = 5/8 for 25  x  40 and f(x) = 0 elsewhere
C)f(x) = 1/25 for 0  x  25 and f(x) = 1/40 for 26  x  40
D)f(x) = 1/15 for 25  x  40 and f(x) = 0 elsewhere

Question

Quizplus · Accepted Answer

The probability density function for a uniform distribution over an interval [a, b] is f(x) = 1/(b-a) for a ≤ x ≤ b. Here, a = 25 and b = 40, so f(x) = 1/(40-25) = 1/15 for 25 ≤ x ≤ 40.

The Uniform Distribution Defined Over the Interval from 25 to 40