# Ch 54: AEPA Math: Discrete Probability Distributions

### About This Chapter

## AEPA Math: Discrete Probability Distributions - Chapter Summary

If you could use a bit of a refresher on probability distributions of the discrete variety, check out the video lessons in this chapter. The lessons will help you prepare for any test questions that address:

- Interpreting the expected value of a discrete random variable
- Empirical and theoretical development of discrete probability distributions
- Definition and characteristics of binomial experiments
- Using formulas and tables to find binomial probabilities
- Standard deviation of binomial random variables

Our expert instructors have created the video lessons in this chapter to be brief and engaging for quick and effective review. Short, multiple-choice quizzes follow each lesson to help gauge your comprehension and retention of the lesson topics.

### 1. Random Variables: Definition, Types & Examples

This lesson defines the term random variables in the context of probability. You'll learn about certain properties of random variables and the different types of random variables.

### 2. Finding & Interpreting the Expected Value of a Discrete Random Variable

Discrete random variables appear in your life a lot more than you think. You can use expected values to find the probability of a discrete random variable, as shown in this lesson.

### 3. Developing Discrete Probability Distributions Theoretically & Finding Expected Values

In this lesson, we will look at generating a theoretical probability distribution for a discrete random variable and introduce the concept of expected value.

### 4. Developing Discrete Probability Distributions Empirically & Finding Expected Values

In this lesson, we will look at creating a discrete probability distribution given a set of discrete data. We will also look at determining the expected value of the distribution.

### 5. Binomial Experiments: Definition, Characteristics & Examples

Binomial experiments happen in your everyday life far more often than you might think. In this lesson, you will learn the characteristics of binomial experiments that will help you identify them.

### 6. Finding Binomial Probabilities Using Formulas: Process & Examples

You can find the probability of getting a certain number of successes when conducting a binomial experiment. In this lesson, you will learn how to find this information using the binomial probabilities formula.

### 7. Finding Binomial Probabilities Using Tables

A binomial probability table can look intimidating to use. However, it can make your life a lot easier when trying to figure out binomial probabilities. This lesson will teach you how to read those tables.

### 8. Mean & Standard Deviation of a Binomial Random Variable: Formula & Example

When working with binomial random variables and experiments, it is important to understand the mean and standard deviation. In this lesson, you will learn how to analyze binomial experiments using the mean and standard deviation of a binomial random variable.

### 9. Solving Problems with Binomial Experiments: Steps & Example

Sometimes when conducting research you will need to use binomial experiments to solve problems. In this lesson, you will learn about binomial experiments and how to use probability to solve problems.

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### Other Chapters

Other chapters within the AEPA Mathematics (NT304): Practice & Study Guide course

- AEPA Math: Properties of Real Numbers
- AEPA Math: Fractions
- AEPA Math: Decimals & Percents
- AEPA Math: Ratios & Proportions
- AEPA Math: Units of Measure & Conversions
- AEPA Math: Logic
- AEPA Math: Reasoning
- AEPA Math: Vector Operations
- AEPA Math: Matrix Operations & Determinants
- AEPA Math: Exponents & Exponential Expressions
- AEPA Math: Algebraic Expressions
- AEPA Math: Linear Equations
- AEPA Math: Inequalities
- AEPA Math: Absolute Value
- AEPA Math: Quadratic Equations
- AEPA Math: Polynomials
- AEPA Math: Rational Expressions
- AEPA Math: Radical Expressions
- AEPA Math: Systems of Equations
- AEPA Math: Complex Numbers
- AEPA Math: Functions
- AEPA Math: Piecewise Functions
- AEPA Math: Exponential & Logarithmic Functions
- AEPA Math: Continuity of Functions
- AEPA Math: Limits
- AEPA Math: Rate of Change
- AEPA Math: Derivative Rules
- AEPA Math: Graphing Derivatives
- AEPA Math: Applications of Derivatives
- AEPA Math: Area Under the Curve & Integrals
- AEPA Math: Integration Techniques
- AEPA Math: Applications of Integration
- AEPA Math: Foundations of Geometry
- AEPA Math: Geometric Figures
- AEPA Math: Properties of Triangles
- AEPA Math: Triangle Theorems & Proofs
- AEPA Math: Parallel Lines & Polygons
- AEPA Math: Quadrilaterals
- AEPA Math: Circles & Arc of a Circle
- AEPA Math: Conic Sections
- AEPA Math: Geometric Solids
- AEPA Math: Analytical Geometry
- AEPA Math: Using Trigonometric Functions
- AEPA Math: Trigonometric Graphs
- AEPA Math: Solving Trigonometric Equations
- AEPA Math: Trigonometric Identities
- AEPA Math: Sequences & Series
- AEPA Math: Graph Theory
- AEPA Math: Set Theory
- AEPA Math: Statistics Overview
- AEPA Math: Summarizing Data
- AEPA Math: Tables, Plots & Graphs
- AEPA Math: Probability
- AEPA Math: Continuous Probability Distributions
- AEPA Math: Sampling
- AEPA Math: Regression & Correlation
- AEPA Mathematics Flashcards