A continuous random variable has the uniform distribution on the interval [a, b] if its probability density function f(x) ________.
A) Provides all probabilities for all x between a and b
B) Is bell-shaped between a and b
C) Is constant for all x between a and b, and 0 otherwise
D) Asymptotically approaches the x axis when x increases to +∞ or decreases to -∞

Question

Quizplus · Accepted Answer

A uniform distribution means that the probability of any value in the interval [a, b] is the same. Therefore, the probability density function f(x) must be constant for all x between a and b, and 0 otherwise.

A Continuous Random Variable Has the Uniform Distribution on the Interval