The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is ________.
A) 1/(b - a) between a and b, and zero otherwise
B) (b - a)/2 between a and b, and zero otherwise
C) (a + b)/2 between a and b, and zero otherwise
D) 1/(a + b) between a and b, and zero otherwise

Question

Quizplus · Accepted Answer

The uniform distribution is a continuous probability distribution that is constant over the interval [a, b]. Therefore, the probability density function is f(x) = 1/(b - a) between a and b, and zero otherwise. The height of the probability density function is equal to the value of the function at any point within the interval, so the height is 1/(b - a) between a and b.

The Height of the Probability Density Function F(x) of the Uniform