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

Question

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

Quizplus · Accepted Answer

The mass function of a discrete random variable X describes all possible values x with the associated probabilities P(X=x). These probabilities must satisfy the following properties:
A) The sum of probabilities over all possible values x is 1, which represents the total probability of all possible outcomes.
B) For every possible value x, the probability P(X=x) is between 0 and 1, because probabilities must be non-negative and cannot exceed 1.
Therefore, choice D is the best choice as it includes all three properties that characterize the mass function of a discrete random variable X.

What Is a Characteristic of the Mass Function of a Discrete