Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P(component i works) = 0.83 for i = 1, 2 and = 0.73 for i = 3, 4, calculate P(system works). (Round your answer to four decimal places.) 2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 60EQ
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Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in
parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem
works if and only if both 3 and 4 work. If components work independently of one another and P(component i works) = 0.83
for i = 1, 2 and = 0.73 for i = 3, 4, calculate P(system works). (Round your answer to four decimal places.)
1
2
4
Transcribed Image Text:Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P(component i works) = 0.83 for i = 1, 2 and = 0.73 for i = 3, 4, calculate P(system works). (Round your answer to four decimal places.) 1 2 4
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