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: 17b

Answer

$P(five~40-year-old~males~will~live~to~be~41~years~old) = 0.99757^{5}\approx0.98791$

Work Step by Step

$P(a~40-year-old~male~will~live~to~be~41~years~old)= 0.99757$ Now, using the Multiplication Rule (see page 282): $P(five~40-year-old~males~will~live~to~be~41~years~old)=$ $=P(a~40-year-old~male~will~live~to~be~41~years~old)\times P(a~40-year-old~male~will~live~to~be~41~years~old)\times P(a~40-year-old~male~will~live~to~be~41~years~old)\times P(a~40-year-old~male~will~live~to~be~41~years~old)\times P(a~40-year-old~male~will~live~to~be~41~years~old)=$ $=[P(a~40-year-old~male~will~live~to~be~41~years~old)]^{5}=$ $=0.99757^{5}\approx0.98791$
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