Question

determine whether the distribution is a discrete probability distribution. if not, state why. choose the correct answer below. a. no, because some of the probabilities are negative and they must all be between 0 and 1 inclusive. b. no, because 0 is not an acceptable value for a discrete random variable. c. no, because the probabilities do not sum to 1. d. yes, the distribution is a discrete probability distribution.

Explanation:

Step1: Recall probability rules

For a discrete probability distribution, each probability value $P(x)$ must satisfy $0\leq P(x)\leq1$ and $\sum_{x}P(x) = 1$.

Step2: Check probability values

In the given distribution, $P(1)= - 1$ and $P(3)=-1$. Probabilities cannot be negative.

Answer:

A. No, because some of the probabilities are negative and they must all be between 0 and 1 inclusive.