Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 7 - Review - Review Exercises - Page 394: 12c

Answer

0.9497

Work Step by Step

According to items (a) and (b): $P(too~heavy)=0.0119$ and $P(too~light)=0.0384$ Since the events "too heavy" and "too light" are disjoint events, we can use the Addition Rule for Disjoint Events (page 270): $P(too~heavy~or~too~light)=P(too~heavy)+P(too~light)=0.0119+0.0384=0.0503$ The event "can be used" is the complement of the event "too heavy or too light". Using the Complement Rule (see page 275): $P(can~be~used)=1-P(too~heavy~or~too~light)=1-0.0503=0.9497$
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