Answer
$p(x\leq 92)=.1587$
Work Step by Step
$z_0=\frac{x-\mu}{\sigma}=\frac{92-100}{8}=-1$
According to table IV, page 773:
$p(0\lt z\lt 1)=.3413$
$p(x\leq 92)=p(z\leq -1)=p(z\gt1)=p(z\gt0)-p(z\gt1)=.5-.3413=.1587$
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 - Learning the Mechanics - Page 242: 5.34c
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