Elementary Statistics: Picturing the World (6th Edition)

Published by Pearson
ISBN 10: 0-32191-121-0
ISBN 13: 978-0-32191-121-6

Chapter 5 - Normal Probability Distributions - Section 5.5 Normal Approximations to Binomial Distributions - Exercises - Page 281: 3

Answer

No, we cannot use the normal distribution to approximate the distribution of x.

Work Step by Step

If np $\geq$ 5 and nq $\geq$ 5 then the normal distribution can be used to approximate the binomial. np = 18 $\times$ 0.90 = 16.2 nq = 18 $\times$ 0.10 = 1.8 Since np $\geq$ 5 but nq $\lt$ 5, we cannot use the normal distribution to approximate the distribution of x.
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