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: 2

Answer

See below for explanations.

Work Step by Step

To use the normal distribution to approximate the binomial distribution, the following conditions should be met: 1. $np\geq5$ and $nq\geq5$, 2. a correction for continuity in the normal approximation. A correction for continuity is a correction employed when a continuous distribution is used to approximate a discrete distribution. For example, for any specific value of X, say 8, the boundaries of X in the binomial distribution (in this case, 7.5 to 8.5) must be used.
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.