A certainairplane has two independent alternators to provide electricalpower. Th

Question

A certainairplane has two independent alternators to provide electricalpower. The probability that a given alternator will fail on a1-hour flight is .02.
(a) What is the probability that both will fail? (Roundyour answer to 4 decimal places.)
(b) What is the probability that neither will fail?(Round your answer to 4 decimal places.)
(c) What is the probability that one or the other will fail?(Round your answer to 4 decimal places.) A certainairplane has two independent alternators to provide electricalpower. The probability that a given alternator will fail on a1-hour flight is .02.

Explanation / Answer

a.) There is a .02 chance that one will fail and a .02chance that the other will fail. The probability that bothwill fail is: .02*.02 = .0004 b.) There is a .98 chance that one will pass and a .98chance that the other will pass. The probability that bothwill pass is: .98*.98 = .9604 c.) There is a .98 chance that the 1st one will pass and a .02chance that the 2nd will fail. There is a .02 chance that the1st one will fail and a .98 chance that the 2nd will pass. Thus, the probability that 1 pass and 1 fail is .98*.02 + .02*.98 = .0196*2 = .0392

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