SOLUTION: A power station has two generators, each failing with probability of 5% in a year, independently from one year to the next. Assuming failure of a generator is independent of each o

Question 776277: A power station has two generators, each failing with probability of 5% in a year, independently from one year to the next. Assuming failure of a generator is independent of each other and between each year, what is the probability of both generators failing in the same year at least once in a ten year period?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A power station has two generators, each failing with probability of 5% in a year, independently from one year to the next. Assuming failure of a generator is independent of each other and between each year, what is the probability of both generators failing in the same year at least once in a ten year period?
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P(both fail in one year) = 0.05^2 = 0.0025
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Binomial Problem with n = 10 and p(both fail) = 0.0025
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P(1<= x <=10) = 1-P(x=0) = 1 - 0.9975^10 = 0.0247
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Cheers,
Stan H.
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