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A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1 hour flight is 0.02. What is the probability that (a) both will fail (b) neither will fail (c) one or the other will fail ? Show all steps.

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The solution shows detailed calculation of the probability that the alternators would fail during a flight.

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This is actually a binomial distribution, with n = 2, p = 0.02

(a) both will fail: (x = 2)
the probability of the first one fails is 0.02. the probability of the second one fails ...

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