Which of the following does not represent a continuous uniform random variable?
A)f(x)= 1/2 for x between −1 and 1,inclusive.
B)f(x)= 10 for x between 0 and 1/10,inclusive.
C)f(x)= 1/3 for x = 4,5,6.
D)None of these choices represents a continuous uniform random variable.

Question

Quizplus · Accepted Answer

A continuous uniform random variable has a constant probability density function (PDF) over a range of values. Options A and B both have a constant PDF over a range of values and thus represent continuous uniform random variables. However, option C has a PDF of 1/3 only at specific points (4, 5, and 6) and thus does not represent a continuous uniform random variable. Option D is not the answer since options A and B represent continuous uniform random variables.

Which of the Following Does Not Represent a Continuous Uniform