A continuous random variable is uniformly distributed between a and b. The probability density function between a and b is
A) zero.
B) (a - b).
C) (b - a).
D) 1/(b - a).

Question

Quizplus · Accepted Answer

For a continuous random variable that is uniformly distributed, the probability density function is constant between a and b. Therefore, the probability density function is equal to 1/(b-a) for a <= x <= b, where x is the random variable. The integral of the probability density function over the entire range of the random variable is equal to 1.

A Continuous Random Variable Is Uniformly Distributed Between a and B