What is a characteristic of the mass function of a discrete random variable X?
A) The sum of probabilities P(X = x) over all possible values x is 1.
B) For every possible value x, the probability P(X = x) is between 0 and 1.
C) Describes all possible values x with the associated probabilities P(X = x).
D) All of the above.

Question

Quizplus · Accepted Answer

A) The sum of probabilities P(X = x) over all possible values x is 1: This is true for the mass function of any discrete random variable, as the probabilities must account for all possible outcomes.

B) For every possible value x, the probability P(X = x) is between 0 and 1: This is also true for the mass function of any discrete random variable, as probabilities cannot be negative or greater than 1.

C) Describes all possible values x with the associated probabilities P(X = x): This is the definition of the mass function of a discrete random variable.

Therefore, all of the above statements are characteristics of the mass function of a discrete random variable, making D the best choice.

What Is a Characteristic of the Mass Function of a Discrete