Statistics (12th Edition)

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

Chapter 5 - Continuous Random Variables - Exercises 5.73 - 5.92 - Learning the Mechanics - Page 256: 5.76d

Answer

The interval $(29.33,70.67)$ lies completely within the range from 0 to 1000.

Work Step by Step

$q=1-p=1-.05=.95$ $\mu=1000(.05)=50$ $\sigma=\sqrt {npq}=\sqrt {1000(.05)(.95)}=6.89$ $\mu\pm3\sigma=50\pm3(6.89)=(29.33,70.67)$
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