A system has m controllers and n actuators. The system has redundancy built in so that...
A system has m controllers and n actuators. The system has redundancy built in so that it will be operational if at least one controller and two actuators have not failed. All controllers and actuators fail independently.
If the probability that a controller fails is pc = 0.25, and the probability that an actuator fails is pa = 0.1, find the probability that the system will be operational for:
(a) 1 controller, 2 actuators
(b) 2 controllers, 2 actuators
(c) 2 controllers, 3 actuators
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