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 - Review Exercises - Page 287: 29

Answer

P( $x$ > 80) = 0.2266

Work Step by Step

To find P( $x$ > 80): 1) Convert $x$ = 80 to a z score: z = $\frac{x - \mu}{\sigma}$ z = $\frac{80 - 74}{8}$ z = 0.75 2) Find P( z > 0.75) = 1 - P(z < 0.75) = 1 - 0.7734 = 0.2266 Therefore, P( $x$ > 80) = 0.2266
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