Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 6 - Normal Probability Distributions - 6-7 Normal as Approximation to Binomial - Basic Skills and Concepts - Page 311: 6


Normal approximation should not be used.

Work Step by Step

q=1-p=1-0.7=0.3 $n\cdot p=12\cdot 0.7=8.4\geq5.$ $n\cdot q=12\cdot 0.3=3.6<5.$ Hence, the requirements are not satisfied, therefore normal approximation should not be used.
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