Question 599354: Below is a probability distribution showing the year after purchase in which a certain brand of computer first fails:
Year- 1- 2- 3- 4- 5- 6 or more
Probability-.12-.02-.05-.08-.11-.62
(this means for example, that a computer that experiences its first failure in year 1 has failed in less than one year) A small business buys three of these computers. assuming that the three computers function independently, what is the probability that exactly two of the three computers will fail in less than three years?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Below is a probability distribution showing the year after purchase in which a certain brand of computer first fails:
Year- 1- 2- 3- 4- 5- 6 or more
Probability-.12-.02-.05-.08-.11-.62
(this means for example, that a computer that experiences its first failure in year 1 has failed in less than one year) A small business buys three of these computers. assuming that the three computers function independently, what is the probability that exactly two of the three computers will fail in less than three years?
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Probability a given computer fails in less than 3 years: (0.12+0.02+0.05) = 0.19
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P(2 of 3 fail in less than 3 years) = 3C2*0.19^2*0.81 = 0.0877
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Cheers,
Stan H.
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