Elementary Statistics: Picturing the World (6th Edition)

Published by Pearson
ISBN 10: 0321911210
ISBN 13: 978-0-32191-121-6

Chapter 5 - Normal Probability Distributions - Section 5.5 Normal Approximations to Binomial Distributions - Exercises - Page 281: 2

Answer

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

Work Step by Step

If np $\geq$ 5 and nq $\geq$ 5 we can use the normal distribution to approximate the binomial. np = 15 $\times$ 0.70 = 10.5 nq = 15 $\times$ 0.30 = 4.5 Since np $\geq$ 5 and nq $\lt$ 5, we cannot use the normal distribution to approximate the binomial.
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