Question

A complex electronic system is built with a certain number of buckup components in its subsystems.One subsystem has four identical components,each with a probability of 2 of failing in less than 1000 hours.The subsystem will operate if any two of the four components are operation.Assume that the components operate independently.Find the probability that;

(a).Exactly two of the four components last longer than 1000 hours.

(b).The subsystem operates longer than 1000 hours.

Answer 1

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