Ch 39: TExES Physics/Math 7-12: Discrete Probability Distributions

About This Chapter

As you prepare for the TExES Physics/Math 7-12 certification exam, watch these lesson videos to reinforce your knowledge of discrete probability. Review what you know about random variables, discrete probability distributions, binomial probability, and their applications.

TExES Physics/Math 7-12: Discrete Probability Distributions - Chapter Summary

When preparing for the Texas Examination of Educator Standards (TExES) Physics/Mathematics 7-12 test, use this chapter to review what you need to know about discrete probabilities and the distributions of discrete probabilities. Watch professional instructors as they demonstrate how to find expected values of discrete random variables, develop discrete probability distributions and solve for binomial probabilities. From this chapter you should gain a greater understanding of:

  • Random variables and finding expected values of discrete random variables
  • Theoretically and empirically developing discrete probability distributions
  • Game strategies and finding expected values for games of chance
  • Discrete probability and problem solving
  • Using tables and formulas to solve for binomial probabilities
  • Binomial experiments and problem solving

In addition to the lesson videos, this chapter also has lesson worksheets and quizzes to help you fortify you understanding of the material. Based on the results of your lesson quizzes you can also improve you understanding of material you haven't yet mastered by returning to key points of the lesson videos with video tags and reading over the lesson transcripts. To insure that you are prepared for TExES Physics/Mathematics 7-12 remember to ask our instructors any questions you may come up with during the course of this chapter.

TExES Physics/Math 7-12: Discrete Probability Distributions - Objectives

The TExES Physics/Math 7-12 is a computer based certification exam composed of 120 multiple-choice questions which test takers are given five hours to complete. The objective of this chapter is to prepare you for questions on discrete probability and discrete probability distributions. Of material covered by the exam 7% is on probability and statistics, thus utilizing these lesson videos, worksheets and quizzes should prove to be beneficial.

15 Lessons in Chapter 39: TExES Physics/Math 7-12: Discrete Probability Distributions
Test your knowledge with a 30-question chapter practice test
Random Variables: Definition, Types & Examples

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.

Finding & Interpreting the Expected Value of a Discrete Random Variable

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.

Developing Discrete Probability Distributions Theoretically & Finding Expected Values

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.

Developing Discrete Probability Distributions Empirically & Finding Expected Values

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.

Dice: Finding Expected Values of Games of Chance

5. Dice: Finding Expected Values of Games of Chance

This lesson examines the various combinations and probabilities behind rolling dice. We will look at a game of dice and what to expect to win or lose in a game. In addition we will extend these concepts to playing with different sided dice.

Blackjack: Finding Expected Values of Games of Chance with Cards

6. Blackjack: Finding Expected Values of Games of Chance with Cards

In this video we learn about games of cards, and how to calculate probabilities. We look at the game of Blackjack and calculate the probability of getting certain hands. In addition we demonstrate how to calculate the expected value of a game that involves betting.

Lotteries: Finding Expected Values of Games of Chance

7. Lotteries: Finding Expected Values of Games of Chance

Most of us won't have a problem with winning the lottery. But is it a realistic goal? Do you really have a chance? In this lesson, learn how luck and probability collide when finding expected values in games of chance.

Comparing Game Strategies Using Expected Values: Process & Examples

8. Comparing Game Strategies Using Expected Values: Process & Examples

While statistics and probability leave a lot to chance, we can use expected values to help inform our decisions. This lesson shows us how to use expected values to make the best determinations possible.

How to Apply Discrete Probability Concepts to Problem Solving

9. How to Apply Discrete Probability Concepts to Problem Solving

Discrete probability concepts, such as expected value, success, and failure, can be used to help you solve real-world problems and inform you when making decisions.

Binomial Experiments: Definition, Characteristics & Examples

10. 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.

Finding Binomial Probabilities Using Formulas: Process & Examples

11. 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.

Practice Problems for Finding Binomial Probabilities Using Formulas

12. Practice Problems for Finding Binomial Probabilities Using Formulas

In this lesson, you will review the binomial probability formula and the combination formula. Then follow along with the practice problems and see if you've mastered these concepts!

Finding Binomial Probabilities Using Tables

13. 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.

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

14. 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.

Solving Problems with Binomial Experiments: Steps & Example

15. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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