(b) 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 works) =.95. Evaluate P(system works).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(b)
Consider the system of components connected as in the accompanying picture.
4
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 works) =.95. Evaluate P(system works).
Transcribed Image Text:(b) Consider the system of components connected as in the accompanying picture. 4 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 works) =.95. Evaluate P(system works).
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