Problem

Consider the system of components connected as in the accompanying picture. Components 1...

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) = .9, calculate P(system works).

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