Ch 15: Probability Theory & Statistics

About This Chapter

Strengthen your knowledge of probability theory and statistics using the study resources in this self-paced chapter. Entertaining lessons, mini quizzes and a practice exam make it simple to study for a test or earn course credit.

Probability Theory & Statistics - Chapter Summary

This fun chapter offers a comprehensive of probability theory and statistics. Our instructors dive into topics that include conditional probability, measures of variability and histograms. Explore the entertaining lessons in any order and as often as you'd like, based on your study preferences. When you're ready, check your comprehension of the lesson contents by taking short quizzes and a chapter exam. Feel free to send any questions you have to our experts using the Dashboard. By the end of this chapter, you will be ready to:

  • Calculate the probability of complementary, compound and simple events
  • Differentiate between mutually exclusive events and non-mutually exclusive events
  • Define and discuss the uses of conditional probability
  • Calculate the mode, median, mean and range of a data set
  • Describe the relationship between the different measures of variability
  • Compare and contrast bar graphs and pie charts
  • Detail the process of creating and interpreting histograms
  • Explain how scatterplots and line graphs are used

8 Lessons in Chapter 15: Probability Theory & Statistics
Test your knowledge with a 30-question chapter practice test
Probability of Simple, Compound and Complementary Events

1. Probability of Simple, Compound and Complementary Events

Simple, compound, and complementary events are different types of probabilities. Each of these probabilities are calculated in a slightly different fashion. In this lesson, we will look at some real world examples of these different forms of probability.

Mutually Exclusive Events & Non-Mutually Exclusive Events

2. Mutually Exclusive Events & Non-Mutually Exclusive Events

In this lesson, we look at the ideas of mutually exclusive and non-mutually exclusive events. As we will learn, just because two events are non-mutually exclusive events are possible, that doesn't make them likely.

Conditional Probability: Definition & Uses

3. Conditional Probability: Definition & Uses

We know a coin can land on either heads or tails. But what would happen if one coin flip changed the next? In this lesson, we'll look at events that are dependent on each other, and we'll learn how to calculate the probability of two events occurring in a combined manner.

How to Calculate Mean, Median, Mode & Range

4. How to Calculate Mean, Median, Mode & Range

Measures of central tendency can provide valuable information about a set of data. In this lesson, explore how to calculate the mean, median, mode and range of any given data set.

Measures of Variability: Range, Variance & Standard Deviation

5. Measures of Variability: Range, Variance & Standard Deviation

Looking specifically at range, variance, and standard deviation, this lesson explores the relationship between these measures and samples, populations, and what it says about your data.

Understanding Bar Graphs and Pie Charts

6. Understanding Bar Graphs and Pie Charts

In this lesson, we will examine two of the most widely used types of graphs: bar graphs and pie charts. These two graphs can provide the reader with a comparison of the different data that is displayed.

Creating & Interpreting Histograms: Process & Examples

7. Creating & Interpreting Histograms: Process & Examples

Creating histograms can help you easily identify and interpret data. This lesson will give you several examples to better understand histograms and how to create them.

Scatterplots and Line Graphs: Definitions and Uses

8. Scatterplots and Line Graphs: Definitions and Uses

After watching this video, you will be able to understand scatter plots and line graphs. You will also be able to use them to tell people a story about what you see and observe. You will also be able to read them.

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

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