Copyright

Ch 55: ORELA Math: Continuous Probability Distributions

About This Chapter

If you have found yourself in need of some review of continuous probability distributions for the ORELA Mathematics test, the video lessons in this chapter are just the ticket. Each lesson has a corresponding quiz so you can confirm your comprehension and retention of the material.

ORELA Mathematics: Continuous Probability Distributions - Chapter Summary

Our subject-matter experts have created brief but succinct video lessons for your review of the essential mathematics concepts you are likely to encounter on the ORELA Mathematics test. These videos are easy to navigate so you can jump between topics within them in order to skip topics you're confident about and concentrate on weak areas. You can watch the videos as many times as you need to. Our expert instructors have gone out of their way to make these videos as engaging as possible. Topics reviewed in the videos include:

  • How to graph probability distributions of random variables
  • Determining the expected value of a continuous random variable
  • Definition and characteristics of normal distribution
  • Using normal distribution to estimate population percentages and binomial probabilities

The lessons include quizzes that are designed to boost your confidence in your preparedness. Video tags will help you move freely through the animated, narrated lessons. Use a mobile device to study online at various intervals throughout your busy day.

ORELA Math: Continuous Probability Distributions Chapter Objectives

Oregon uses the ORELA Mathematics test to assess the readiness of candidates for a professional teaching certification. The videos in this chapter have been created to correlate and expound upon the objectives of the test. The test is computer-based and has 150 multiple-choice questions sectioned into five main parts. Questions about continuous probability distributions may be encountered particularly in the fifth section of the test: Statistics, Probability and Discrete Mathematics. This section constitutes about 19% of the test. Creators of the test have indicated they want examinees to understand the essential principles and techniques of probability. Specifically, they want candidates to be able to determine probabilities using graphical representations and counting principles.

6 Lessons in Chapter 55: ORELA 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.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the ORELA Mathematics: Practice & Study Guide course

Support