What is the shape of the probability density function for a uniform random variable on the interval [ a , b ]?
A)A rectangle whose X values go from a to b .
B)A straight line whose height is 1\( b - a )over the range [ a , b ].
C)A continuous probability density function with the same value of f(x)from a to b .
D)All of these choices are true.

Question

What is the shape of the probability density function for a uniform random variable on the interval [ a ,  b ]?
A)A rectangle whose X values go from a to b .
B)A straight line whose height is 1\( b - a )over the range [ a , b ].
C)A continuous probability density function with the same value of f(x)from a to b .
D)All of these choices are true.

Quizplus · Accepted Answer

All the descriptions provided in options A, B, and C accurately describe the probability density function of a uniform distribution over the interval [a, b]. The function is rectangular (A), has a constant height of 1/(b-a) over the interval [a, b] (B), and is a continuous function with the same value of f(x) from a to b (C).

What Is the Shape of the Probability Density Function for a Uniform