# Ch 6: The Normal Curve & Continuous Probability Distributions

Watch normal curve and continuous probability distribution video lessons and learn how to find z-scores, graph probability distributions, estimate percentages and more. Each lesson is accompanied by a short multiple-choice quiz you can use to check your understanding of these math topics.

## The Normal Curve and Continuous Probability Distributions - Chapter Summary and Learning Objectives

The normal curve, also commonly known as the bell curve, describes the mathematical concept of normal distribution. This means that most of the data is concentrated in the middle of the curve and that it is uncommon for data points to fall at either extreme end of the curve. Normal distribution is an example of a continuous probability distribution. The lessons in this chapter will teach you all about the characteristics of normal distributions and how to use them to determine probabilities. This chapter is designed to teach you how to:

• Graph probability distributions
• Find z-scores
• Find expected values of continuous random variables
• Estimate areas under the normal curve
• Use normal distributions to estimate population percentages

Video Objective
Graphing Probability Distributions Associated with Random Variables Represent probability distributions graphically
Finding & Interpreting the Expected Value of a Continuous Random Variable Find expected values of continuous random variables
Developing Continuous Probability Distributions Theoretically & Finding Expected Values Use probability theory to develop continuous probability distributions
Probabilities as Areas of Geometric Regions: Definition & Examples Conceptualize probabilities as geometric areas
Normal Distribution: Definition, Properties, Characteristics & Example Describe the properties and characteristics of normal distribution
Finding Z-Scores: Definition & Examples Determine z-scores
Estimating Areas Under the Normal Curve Using Z-Scores Use z-scores to find areas under the normal curve
Estimating Population Percentages from Normal Distributions: The Empirical Rule & Examples Use the empirical rule and normal distributions to estimate population percentages
Using the Normal Distribution: Practice Problems Use normal distribution to find probabilities

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 160 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.