Which of the following statements about a discrete random variable and its probability distribution are true?
A) Values of the random variable can never be negative.
B) Some negative values of fx) are allowed as long as ∑fx) = 1.
C) Values of fx) must be greater than or equal to zero.
D) The values of fx) increase to a maximum point and then decrease.

Question

Quizplus · Accepted Answer

According to the definition of a probability distribution for a discrete random variable, the values of fx) must be greater than or equal to zero, and the sum of all values of fx) must equal 1. While statement A is true for some discrete random variables, it is not a universal truth. Statement B is false, as negative values of fx) cannot be allowed in a probability distribution. Statement D is also false, as the values of fx) can increase, decrease, or remain constant depending on the distribution.

Which of the Following Statements About a Discrete Random Variable