Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 6 - The Normal Distribution - 6-4 The Normal Approximation to the Binomial Distribution - Exercises 6-4 - Page 360: 1

Answer

See explanations below.

Work Step by Step

When we look at the values of a binomial distribution such as those in table B, we can see that they are centered around the mean which is given by $\mu=np$. For $p\approx 0.5$, the distribution will be close to symmetric. With increasing $n$, we will have more data values for the distribution and when $n$ is very large, the binomial distribution looks like a normal distribution which means that we can use a normal distribution to approximate the binomial distribution when $n$ is large and $p$ is no far away from 0.5
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.