# Chapter 4: Discrete Random Variables

## Overview

This chapter introduces the basic concepts of discrete random variables including their probability distributions, means, and standard deviations. We describe in detail one of the most important discrete probability distribution: the binomial distribution.

As a result of completing this chapter, you will be able to do the following:

- Determine the probability distribution of a discrete random variable.
- Calculate the mean (expected value) and standard deviation of a discrete random variable based on its probability distribution.
- Identify situations where the binomial distribution can be applied.
- Calculate the probabilities of events using the binomial probability formula, if applicable.
- Calculate the mean and standard deviation of a random variable that follows the binomial distribution.