Question 668447: Assume a system has 5 subsystems. As long as 3 of the subsystems are operational, the system is working. Also assume that each subsystem has a probability of survival equals to 0.9 for 1000 hours of operation without any failure.
What is the probability that the system will survive a 1000 hours of operation without a loss of more than 2 subsystems.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Assume a system has 5 subsystems. As long as 3 of the subsystems are operational, the system is working. Also assume that each subsystem has a probability of survival equals to 0.9 for 1000 hours of operation without any failure.
What is the probability that the system will survive a 1000 hours of operation without a loss of more than 2 subsystems.
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Binomial Problem with n = 5, p(fail) = 0.1, p(not fail) = 0.9
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Comment: That condition means you could have zero, one, or two subsystems fail.
P(0<= x <=2) = binomcdf(5,0.1,2) = 0.9914
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Cheers,
Stan H.
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