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 - Extending the Concepts - Page 361: 23

Answer

a. $n\geq50$ b. $n\geq17$ c. $n\geq10$ d. $n\geq25$ e. $n\geq50$

Work Step by Step

a. let $np\geq5\cap nq\geq5$, we have $0.1n\geq5\cap 0.9n\geq5$, so $n\geq50$ b. $0.3n\geq5\cap 0.7n\geq5$, so $n\geq16.7\approx17$ c. $0.5n\geq5\cap 0.5n\geq5$, so $n\geq10$ d. $0.8n\geq5\cap 0.2n\geq5$, so $n\geq25$ e. $0.9n\geq5\cap 0.1n\geq5$, so $n\geq50$
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