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: 19

Answer

No, we cannot use the normal distribution to approximate the binomial distribution.

Work Step by Step

n = 20, p = 0.78, q = 0.22 np = 20 x 0.78 = 15.6 nq = 20 x 0.22 = 4.4 Remember: If np $\geq$ 5 and nq $\geq$ 5, we can use the normal distribution to approximate the binomial. np $\geq$ 5 but nq $\lt$ 5, so we cannot use the normal distribution to approximate the binomial.
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