Answer
$95$%
Work Step by Step
$z=\frac{x-\mu}{\sigma}=\frac{\mu\pm2\sigma-\mu}{\sigma}=\pm2$
According to table IV, page 773:
$p(0\lt z\lt2)=.4772$
$p(-2\lt z\lt2)=2p(0\lt z\lt2)=2(.4772)\approx0.95=95$%
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 5.53 - 5.72 - Understanding the Principles - Page 249: 5.55b
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