The sum of all of the possible values is 1
The sum of all of the possible values is 0
The sum of all of the possible values is infinite
All of the mentioned
Answer is Wrong!
Answer is Right!
The correct answer is A. The sum of all of the possible values is 1.
A probability mass function (pmf) is a function that assigns a probability to each possible value of a discrete random variable. The sum of the probabilities of all the possible values must be equal to 1. This is because the probability of any event must
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lie between 0 and 1, inclusive, and the sum of the probabilities of all possible events must be equal to 1.
Option B is incorrect because the sum of the probabilities of all the possible values must be equal to 1, not 0.
Option C is incorrect because the sum of the probabilities of all the possible values must be finite, not infinite.
Option D is incorrect because only option A is correct.