SOLUTION: 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 .02. What is the probabilit

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Question 135272: 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 .02. What is the probability that (a) both will
fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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 .02. What is the probability that
(a) both will fail?)
P(fail AND fail) = 0.02*0.02 = 0.0004
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(b) Neither will fail?
P(not fail AND not fail) = 0.98*0.98 = 0.9604
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(c) One or the other will fail?
Prob(one or other fail) = 1 - (0.9604+0.0004) = 0.0392
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Cheers,
Stan H.