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 correct probability density function for a uniform distribution over an interval [a, b] is given by f(x) = 1/(b-a) for a ≤ x ≤ b and f(x) = 0 elsewhere. For the interval from 25 to 40, b-a = 40-25 = 15, so f(x) = 1/15 for 25 ≤ x ≤ 40.

The Uniform Distribution Defined Over the Interval from 25 to 40