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 174: 3.184

Answer

$P$(device is capable of monitoring power quality and is wired up for that purpose) =$9$%

Work Step by Step

Event A:Device can monitor the quality of the power running through the device. Event B:Equipment is wired up. (given 90% do not wire the equipment i.e 10% wire the equipment) $P$(device is capable of monitoring power quality and is wired up for that purpose) = $P$(A and B) = $P$( A ∩ B ) $P$( A ∩ B ) = $P$(A)$\times$$P$(B). $P$( A ∩ B ) =$ 0.9\times0.1$ $P$( A ∩ B ) = 0.09 = $9$%.
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