SOLUTION: machine has 9 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail

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Question 317333: machine has 9 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working.
Ans
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Machine has 9 identical components which function independently.
The probability that a component will fail is 0.2.
The machine will stop working if more than three components fail.
Find the probability that the machine will be working.
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P(fail) = 0.2
P(not fail) = 0.8
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Binomial Problem with n = 9
P(less than 4 components fail) = binomcdf(9,0.2,3) = 0.9144
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Cheers,
Stan H.
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