Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Section 5.3 - Assess Your Understanding - Applying the Concepts - Page 285: 17c

Answer

$P(at~least~one~of~five~40-year-old~males~will~not~live~to~be~41~years~old)=0.01209$

Work Step by Step

The event "at least one of five randomly selected 40-year-old males will not live to be 41 years old" is the complement of "five randomly selected 40-year-old males will live to be 41 years old". So, we use the Complement Rule (see page 275): $P(at~least~one~of~five~40-year-old~males~will~not~live~to~be~41~years~old) =$ $=1-P(five~randomly~selected~40-year-old~males~will~live~to~be~41~years~old)=$ $1-0.98791=0.01209$
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