It is appropriate to use the uniform distribution to describe a continuous random variable x when:
A)The area under the probability curve = 1.
B)The probability curve f(x) 0.
C)The shape of the histogram of all possible values of x is nonsymmetrical.
D)Relative frequencies of all possible values of x are about the same.

Question

It is appropriate to use the uniform distribution to describe a continuous random variable x when:
A)The area under the probability curve = 1.
B)The probability curve f(x)> 0.
C)The shape of the histogram of all possible values of x is nonsymmetrical.
D)Relative frequencies of all possible values of x are about the same.

Quizplus · Accepted Answer

A uniform distribution assumes that all possible values of x have an equal probability of occurring. Therefore, the relative frequencies of all possible values of x should be about the same. Option A is true for any probability distribution, not just the uniform distribution. Option B is not sufficient to determine if a distribution is uniform or not. Finally, option C may indicate a skewed distribution, which is not uniform.

It Is Appropriate to Use the Uniform Distribution to Describe