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Ch 55: AEPA Math: Continuous Probability Distributions

About This Chapter

Review the process of solving math problems involving continuous probability distributions so you'll be ready for the AEPA Mathematics test. Our instructor-guided video lessons and self-assessment quizzes will help you feel ready for this test.

AEPA Math: Continuous Probability Distributions - Chapter Summary

If you could use a bit of a refresher on probability distributions of the continuous variety, check out the video lessons in this chapter which will help prepare you to answer test questions about:

  • Probability distributions graphs of random variables
  • Interpretation of continuous random variables in terms of expected value
  • Theoretical development of continuous probability distributions
  • Normal distribution properties
  • Using normal distributions to estimate population percentages
  • Approximating binomial probabilities using normal distribution

Our expert instructors have made these video lessons brief and engaging for quick and effective review. Short, multiple-choice quizzes follow each lesson to help ensure you're grasping and retaining the concepts you set out to review.

Objectives of the AEPA Math: Continuous Probability Distributions Chapter

To assess the readiness of current and aspiring secondary teachers to teach math, Arizona State now uses the NES Mathematics exam instead of the AEPA math exam. This test is computer-based and consists of 150 multiple-choice questions divided into five sections. Information relevant to this title is in the Statistics, Probability and Discrete Mathematics section. Specifically, probability objectives that you could be tested on throughout this section include determining probabilities of simple and compound events; determining conditional probabilities; calculating probabilities using counting principles and a variety of graphical representations, and analyzing various types of probability distributions including uniform, binomial and normal varieties.

Since there are multiple objectives related to probabilities in a section that accounts for about 19% of the total exam, it would be wise to review these topics as you prepare for the AEPA Mathematics test.

6 Lessons in Chapter 55: AEPA Math: 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!

Normal Distribution: Definition, Properties, Characteristics & Example

4. 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.

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

5. 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 Normal Distribution to Approximate Binomial Probabilities

6. Using Normal Distribution to Approximate Binomial Probabilities

Binomial probabilities describe processes in our world. Learn how to create and interpret a binomial probability distribution graph, and discover how the normal distribution can form a good approximation of the binomial distribution.

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.
Not Taken

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Other Chapters

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

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