Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321755936
ISBN 13: 978-0-32175-593-3

Chapter 3 - Probability - Supplementary Exercises 3.154 - 3.199 - Applying the Concepts - Intermediate - Page 173: 3.183d

Answer

$P$(exactly one subsystem in System B fails) = $30.72$%

Work Step by Step

$P$(system B working) = $0.9639$ (as per question c) Here, $P$(system B working) = $P$(both subsystems working) + $P$(any 1 subsystem working). $0.9639$ = 0.6561 + $P$(any 1 subsystem working). $P$(any 1 subsystem working) = $0.3078$. $P$(any 1 subsystem working) = $30.78$%.
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