This document provides an overview of Chapter 6 from the textbook Elementary Statistics by Mario F. Triola. The chapter focuses on normal probability distributions and continuous random variables. It contains 6 sections that cover reviewing and previewing normal distributions, the standard normal distribution, applications of normal distributions, sampling distributions and estimators, the central limit theorem, assessing normality, and using the normal distribution to approximate the binomial distribution. The key aspects of the normal distribution are introduced with its probability density function.

1. Section 6.1-1
Copyright © 2014, 2012, 2010 Pearson Education, Inc.
Lecture Slides
Elementary Statistics
Twelfth Edition
and the Triola Statistics Series
by Mario F. Triola

2. Section 6.1-2
Copyright © 2014, 2012, 2010 Pearson Education, Inc.
Chapter 6
Normal Probability Distributions
6-1 Review and Preview
6-2 The Standard Normal Distribution
6-3 Applications of Normal Distributions
6-4 Sampling Distributions and Estimators
6-5 The Central Limit Theorem
6-6 Assessing Normality
6-7 Normal as Approximation to Binomial

3. Section 6.1-3
Copyright © 2014, 2012, 2010 Pearson Education, Inc.
Preview
2
1
2
( )
2
x
e
f x


 

 
  
 

Chapter focus is on:
 Continuous random variables
 Normal distributions
Preview
Figure 6-1
Formula 6-1
Distribution determined by
fixed values of mean and
standard deviation