Figure 1 shows the schematic diagram of a mechanical system that consists of two subsystems in...

Figure 1 shows the schematic diagram of a mechanical system that consists of two subsystems in parallel. The first subsystem consists of two components A and B in series, both of which have the same 0.80 probability of working. The second subsystem consists of three components C, D, and E in series, all of which have the same 0.90 probability of working. It is assumed that all components of the system are independent. (a) What is the probability that subsystem A-B works? (5 points) (b) What is the probability that subsystem C-D-E works? (5 points) (c) What is the probability that the whole system works? Hint: Remember that the probability that the system works = 1 – probability that the system doesn’t work. (7 points) (d) What is the probability that A is not working, given that the system works? Hint: Does it matter whether B works or not? (8 points)

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orchestra answered 1 year ago

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