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: 21b

Answer

$P(structure~with~2~components~will~succeed)=0.9775$

Work Step by Step

At least one of the 2 components must succeed. The event "at least one of the 2 components succeeds" is the complement of "both components fail". $P(both~components~fail)=P(two~components~fail)=0.0225$ Using the Complement Rule (see page 275): $P(structure~with~2~components~will~succeed)=P(at~least~one~of~the~2~components~succeeds)=1-P(both~components~fail)=1-0.0225=0.9775$
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