SOLUTION: a machine has 7 identical components which fucntion independently. the probability that a component will fail is 0.200. the machine will stop working if more than three components

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Question 438063: a machine has 7 identical components which fucntion independently. the probability that a component will fail is 0.200. the machine will stop working if more than three components fail. find the probability that the machine will be working.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a machine has 7 identical components which fucntion independently. the probability that a component will fail is 0.200. 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(component fails) = 0.2
P(component does not fail) = 0.8
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P(7 components do not fail) = 0.8^7 = 0.2097
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Cheers,
Stan H.