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: 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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.