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In a home computer system, the probability that the hard drive on the computer will fail...

In a home computer system, the probability that the hard drive on the computer will fail within a year is 0.003, the probability that the monitor will fail within a year is 0.01 and the probability that the modem will fail within a year is 0.001. Assuming these events are independent, determine the probability, correct to five decimal places, that
a) Exactly one of these components will fail within a year.
b) At least one of these components will fail within a year.

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