The probability density function for a uniform distribution ranging between 2 and 6 is
A) 4.
B) undefined.
C) any positive value.
D) 0.25.

Question

Quizplus · Accepted Answer

The probability density function for a uniform distribution with range [a, b] is f(x) = 1/(b-a) for a<= x <= b and 0 elsewhere. In this case, a=2 and b=6, so the probability density function is f(x) = 1/(6-2) = 1/4 for 2 <= x <= 6 and 0 elsewhere. Therefore, the answer is D) 0.25.

The Probability Density Function for a Uniform Distribution Ranging Between