Answer
$p(x\lt57)=.8413$
Work Step by Step
$z_0=\frac{x-\mu}{\sigma}=\frac{57-48.5}{8.5}=1$
According to table IV, page 773:
$p(0\lt z\lt1)=.3413$
$p(x\lt57)=p( z\lt1)=p(z\lt0)+p(0\lt z\lt1)=.5+.3413=.8413$
Statistics (12th Edition)
by McClave, James T.; Sincich, Terry T.
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: 5.41a
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