Question

Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not.

1) Yes, because the sum of the probabilities of all possible outcomes is equal to 1.
2) Yes, because the probabilities of all possible outcomes are non-negative.
3) No, because the probabilities of all possible outcomes are not non-negative.
4) No, because the sum of the probabilities of all possible outcomes is not equal to 1.

Answer 1

A discrete probability distribution is a function that shows the probabilities of different outcomes of a discrete random variable. To determine if a distribution is a discrete probability distribution, we need to check two essential characteristics: Each probability is between zero and one, inclusive, and the sum of the probabilities is one. In the given options, option 4 is correct: No, because the sum of the probabilities of all possible outcomes is not equal to 1.

Step-by-step explanation:

A discrete probability distribution is a function that shows the probabilities of different outcomes of a discrete random variable. To determine if a distribution is a discrete probability distribution, we need to check two essential characteristics:

1. Each probability is between zero and one, inclusive.
2. The sum of the probabilities is one.

In the given options, option 4 is correct: No, because the sum of the probabilities of all possible outcomes is not equal to 1. This means that the distribution is not a discrete probability distribution.