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A complex electronic system is built with a certain number of backup components in its subsystems....

A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has six identical components, each with a probability of 0.3 of failing in less than 1,000 hours. The sub system will operate if any three of the six components are operating. Assume that the components operate independently. (Round your answers to four decimal places.)

(a)

Find the probability that exactly three of the six components last longer than 1,000 hours.

(b)

Find the probability that the subsystem operates longer than 1,000 hours.

math   Statistics-And-Probability   
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