Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321755936
ISBN 13: 978-0-32175-593-3

Chapter 5 - Continuous Random Variables - Exercises 5.20 - 5.52 - Applying the Concepts - Basic - Page 242: 5.39e

Answer

It is hard to believe given that the probability of a 25-year-old woman being in the WPOWER50 is less than .1%

Work Step by Step

$z=\frac{x-\mu}{\sigma}=\frac{25-50}{6.4}=-3.91$ According to table IV, page 773: $p(0\lt z\lt3.91)\gt.4990$ $p(x\leq25)=p(z\leq-3.91)=p(z\lt0)-p(-3.91\lt z\lt0)=.5-p(0\lt z\lt3.91)\lt.001$
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