Question

A discrete probability distribution

a. is a set of possible values and a corresponding set of probabilities that sum to 1.
b. is a modeling tool that can be used to incorporate uncertainty into models.
c. can be estimated from long-run proportions.
d. is the distribution of a single random variable.

Answer 1

A discrete probability distribution is a set of countable outcomes with respective probabilities, which sum to one, and is used for statistical analyses.

Step-by-step explanation:

The discrete probability distribution is a mathematical description of a discrete random variable which encompasses a set of countable values, each assigned a probability such that two main characteristics are met:

1. Each probability is between zero and one, inclusive.
2. The sum of the probabilities is one, ensuring the total probability across all outcomes is complete.

A probability distribution can be used as a modeling tool to incorporate uncertainty and to predict long-term outcomes of statistical experiments. It's defined in table form listing all possible outcomes of an experiment and the associated probability or by an equation (formula). It's essential in calculating expected values or the mean and standard deviation of a distribution.