A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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80. Consider the system of components connected as in
the accompanying picture. Components 1 and 2 are
connected in parallel, so that subsystem works iff
either 1 or 2 works; since 3 and 4 are connected in
series, that subsystem works iff both 3 and 4 work. If
components work independently of one another and
P(component i works) = .9 for i=1,2 and = .8 for
i = 3, 4, calculate P (system works).
3
4
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Transcribed Image Text:80. Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works iff either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works iff both 3 and 4 work. If components work independently of one another and P(component i works) = .9 for i=1,2 and = .8 for i = 3, 4, calculate P (system works). 3 4
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