Applied Statistics and Probability for Engineers, 6th Edition

Published by Wiley
ISBN 10: 1118539710
ISBN 13: 978-1-11853-971-2

Chapter 2 - Section 2-5 - Multiplication and Total Probability Rules - Exercises - Page 48: 2-123

Answer

$0.014$

Work Step by Step

Let F be the event that the fails and W be the event that the connector is wet. Then using the rule of total probability for $2$ events, $P(F)=P(F\cap W)+P(F\cap W')\\=P(F|W)P(W)+P(F|W')P(W')\\=0.05\cdot0.1+0.01\cdot0.9\\=0.005+0.009=0.014$
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