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: 5.76b

Answer

The interval $(5.43,18.57)$ lies completely within the range from 0 to 20.

Work Step by Step

$q=1-p=1-.6=.4$ $\mu=20(.6)=12$ $\sigma=\sqrt {npq}=\sqrt {20(.6)(.4)}=2.19$ $\mu\pm3\sigma=12\pm3(2.19)=(5.43,18.57)$
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