Assume a system has 5 subsystems. As long as 3 of the subsystems are operational, the system is work

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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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