Ch 34: NYSTCE Mathematics: Probability Distributions

About This Chapter

Learn about trigonometry in this chapter of the NYSTCE Mathematics exam study guide. Video lesson and self-assessment quizzes teach you all you need to know about mathematics for teacher licensure in New York.

NYSTCE Mathematics: Probability Distributions - Chapter Summary

Lessons in this chapter explore probability distributions, including random variables, expected value of discrete random variables, and developing discrete probability distributions. Binomial experiments, binomial probabilities and graphing probability distributions are also discussed. By the end of this chapter, you should be familiar with:

  • Finding and interpreting the expected value of a continuous random variable
  • Developing continuous probability distributions
  • Probabilities as areas of geometric regions
  • Normal distribution

Knowledgeable instructors walk you through each subject using short, engaging video lessons. Self-assessment quizzes ensure your full understanding and retention of the material, and can be printed as worksheets to help you study for the exam. Use the jump feature under the Timeline tab to skip directly to main subjects within the video lessons.

15 Lessons in Chapter 34: NYSTCE Mathematics: 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.

Binomial Experiments: Definition, Characteristics & Examples

5. 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

6. 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.

Finding Binomial Probabilities Using Tables

7. 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.

Solving Problems with Binomial Experiments: Steps & Example

8. 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.

Graphing Probability Distributions Associated with Random Variables

9. 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

10. 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

11. 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

12. 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

13. 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.

Using the Normal Distribution: Practice Problems

14. 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.

Using Normal Distribution to Approximate Binomial Probabilities

15. 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.
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