Which of these statements is a property of the probability distribution for a discrete random variable x ?
A) The probabilities must be nonnegative.
B) The probabilities must sum to 1.
C) The random variable must take on positive values between 0 and 1.
D) Both (a) and (b) are true.

Question

Quizplus · Accepted Answer

Option A is true because probabilities cannot be negative. Option B is also true because the sum of all the probabilities in the probability distribution of a discrete random variable x must be equal to one. Option C is false because the random variable x can take on any discrete value, not necessarily between 0 and 1. Therefore, the best choice is D, which includes both A and B as true.

Which of These Statements Is a Property of the Probability