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: 4

Answer

$np\lt5$ or $nq\lt5$, or when correction for continuity is not used.

Work Step by Step

The normal distribution will not be a good approximation for the binomial distribution when the conditions are not met, for example, when $np\lt5$ or $nq\lt5$, or when correction for continuity is not used.
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