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Ch 40: TExES Physics/Math 7-12: Continuous Probability Distributions

About This Chapter

Watch these lesson videos on continuous probability distributions to reinforce your understanding of the properties and functions of probability distributions for the TExES Physics/Mathematics 7-12 exam.

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

The engaging lesson videos of this chapter feature professional instructors who explain the properties and functions of probability distributions. Watch them to fortify your grasp of the uses of histograms, normal distributions and z-scores. Then, use this knowledge to prepare for questions on the Texas Examination of Educator Standards (TExES) Physics/Mathematics 7-12 about:

  • Graphing probability distributions
  • Expected values of continuous random variables
  • Developing continuous probability distributions
  • Representing probability as areas of geometric regions
  • Properties and uses of normal distributions
  • Using z-scores and estimating areas under the normal curve
  • Population percentages and the normal distribution

If at any time you become confused about a topic in this chapter, be sure to ask our instructors for clarification so that you can master the material presented. In addition to the lesson videos, this chapter is complete with lesson transcripts, video tags and quizzes. Use these tools to further improve your understanding of continuous probability distributions.

TExES Physics/Math 7-12: Continuous Probability Distributions Chapter Objectives

Individuals with the goal of becoming physics/math teachers in the state of Texas will need to take the TExES Physics/Mathematics 7-12 teacher certification exam. This exam consists of 120 multiple-choice questions, 7% of which are in the Probability and Statistics domain. The object of this chapter is to allow you to reinforce your understanding of continuous probability distributions so that you can properly address that domain's questions.

9 Lessons in Chapter 40: TExES Physics/Math 7-12: Continuous Probability Distributions
Test your knowledge with a 30-question chapter practice test
Graphing Probability Distributions Associated with Random Variables

1. 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.

Finding & Interpreting the Expected Value of a Continuous Random Variable

2. 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.

Developing Continuous Probability Distributions Theoretically & Finding Expected Values

3. 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!

Probabilities as Areas of Geometric Regions: Definition & Examples

4. Probabilities as Areas of Geometric Regions: Definition & Examples

In this lesson, you're going to learn what a random variable is and examine core concepts related to probabilities as areas of geometric regions and expected values of probability distributions.

Normal Distribution: Definition, Properties, Characteristics & Example

5. 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.

Finding Z-Scores: Definition & Examples

6. Finding Z-Scores: Definition & Examples

Talking about multiples of standard deviations can get exhausting and confusing. Luckily, z-scores allow us to talk about how far a point is removed from a mean in terms of how many standard deviations away it is.

Estimating Areas Under the Normal Curve Using Z-Scores

7. Estimating Areas Under the Normal Curve Using Z-Scores

So now that we have a Z-score, what is it used for? Sure, it can make your life easier when describing standard deviations, but finding the area under the normal curve is where the Z-score shines.

Estimating Population Percentages from Normal Distributions: The Empirical Rule & Examples

8. Estimating Population Percentages from Normal Distributions: The Empirical Rule & Examples

If you've been working with z-scores for long, you probably get tired of checking those tables every time you need to check the area under the curve. Luckily, the empirical rule helps us memorize the most important values.

Using the Normal Distribution: Practice Problems

9. Using the Normal Distribution: Practice Problems

In this lesson, we will put the normal distribution to work by solving a few practice problems that help us to really master all that the distribution, as well as Z-Scores, have to offer. Review the concepts with a short quiz at the end.

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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Other Chapters

Other chapters within the TExES Physics/Mathematics 7-12 (243): Practice & Study Guide course

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