A continuous random variable has the uniform distribution on the interval [a,b] if its probability density function f(x)__________.
A)Is symmetric around its mean
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

The uniform distribution has a constant probability density function between a and b, which means it is the same for all x values within that interval, and 0 otherwise. This creates a flat, rectangular shape for the probability density function. It is not symmetric or bell-shaped, and it does not asymptotically approach the x axis.

A Continuous Random Variable Has the Uniform Distribution on the Interval