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 - Review Exercises - Page 287: 30

Answer

Answer: 0.6179

Work Step by Step

To find P( $x$ > 71.6): 1) Convert $x$ = 71.6 to a z score: z = $\frac{x - \mu}{\sigma}$ z = $\frac{71.6 - 74}{8}$ z = -0.3 2) Find P( z > -0.3) = 1 - P( z < -0.3) = 1 - 0.3821 = 0.6179 Therefore, P( $x$ > 71.6) = 0.6179
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