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 243: 5.43e

Answer

$x=841.8$

Work Step by Step

$p(z\gt z_0)=p(z\gt0)-p(0\lt z\lt z_0)=.5-p(0\lt z\lt z_0)=.1$ $p(0\lt z\lt z_0)=.4$ If $p(0\lt z\lt z_0)=.4$ then $z_0=1.28$ $z=\frac{x-\mu}{\sigma}$ $1.28=\frac{x-605}{185}$ $x=605+1.28(185)=841.8$
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