# Ch 24: HiSET Mathematics: Probability Distributions

### About This Chapter

## HiSET Mathematics: Probability Distributions - Chapter Summary

Get ready for the HiSET math exam with this lesson chapter, which includes video lessons and transcripts on the topics listed below:

- Types of random variables
- Interpreting the expected value of a discrete random variable
- Developing discrete probability distributions theoretically and empirically
- How to graph probability distributions with random variables
- The expected value of a continuous random variable
- Developing continuous probability distributions theoretically and finding expected values
- Characteristics and properties of normal distribution

Subject-matter experts lead you through each fun and practical video lesson in ways that you'll understand and remember. If you find you need further clarification on a particular concept, you can ask our instructors any questions. We are here to help you do your best.

### Objectives of the HiSET Mathematics: Probability Distributions Chapter

Your ability to solve quantitative problems involving probability distributions is important for scoring well on the HiSET exam. The topics you'll study in this chapter are included in the Data Analysis/Probability Statistics section of the exam, which makes up 18% of the test. Use our lesson quizzes to assess your understanding and gain experience answering the multiple-choice questions you'll have to answer.

### 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. Graphing Probability Distributions Associated with Random Variables

What's a random variable? Does it have anything to do with gambling? What's the difference between a continuous and a discrete variable? This lesson explains the difference and how to graph each one.

### 6. Finding & Interpreting the Expected Value of a Continuous Random Variable

How can you find the expected value of something like height distributions? This lesson explains how to find and interpret the expected value of a continuous random variable.

### 7. Developing Continuous Probability Distributions Theoretically & Finding Expected Values

What is an expected value? How can you tell how many time you should expect a coin to land on heads out of several flips? This lesson will show you the answers to both questions!

### 8. Normal Distribution: Definition, Properties, Characteristics & Example

In this lesson, we will look at the Normal Distribution, more commonly known as the Bell Curve. We'll look at some of its fascinating properties and learn why it is one of the most important distributions in the study of data.

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### Other Chapters

Other chapters within the HiSET Mathematics: Prep and Practice course

- HiSET Mathematics: Mathematical Reasoning
- HiSET Mathematics: Properties of Real Numbers
- HiSET Mathematics: Fractions
- HiSET Mathematics: Decimals and Percents
- HiSET Mathematics: Ratios and Proportions
- HiSET Mathematics: Vector Operations
- HiSET Mathematics: Matrices and Determinants
- HiSET Mathematics: Exponents and Exponential Expressions
- HiSET Mathematics: Absolute Value Problems
- HiSET Mathematics: Rational Expressions
- HiSET Mathematics: Radical Expressions
- HiSET Mathematics: Imaginary and Complex Numbers
- HiSET Mathematics: Measurements and Conversions
- HiSET Mathematics: Foundations of Geometry
- HiSET Mathematics: Introduction to Geometric Figures
- HiSET Mathematics: Properties of Triangles
- HiSET Mathematics: Triangle Theorems and Proofs
- HiSET Mathematics: Parallel Lines and Polygons
- HiSET Mathematics: Quadrilaterals
- HiSET Mathematics: Circular Arcs and Circles
- HiSET Mathematics: Geometric Solids
- HiSET Mathematics: Summarizing Data
- HiSET Mathematics: Probability
- HiSET Mathematics: Sampling
- HiSET Mathematics: Regression and Correlation
- HiSET Mathematics: Algebraic Expressions
- HiSET Mathematics: Linear Equations
- HiSET Mathematics: Inequalities
- HiSET Mathematics: Quadratic Equations
- HiSET Mathematics: Polynomials
- HiSET Mathematics: Functions
- HiSET Mathematics Flashcards