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A system is made up of two subsystems, A and B, connected in parallel. Subsystem A...

A system is made up of two subsystems, A and B, connected in parallel. Subsystem A is made up 5 Components connected in parallel. Subsystem B is made up of 5 components connected in series. All components function independently. The probability that a component is operational is 0.7. let P(S) Donate the probability that the system is operational.

a. find P(S)

b. A component from subsystem A is tested and found to be operational. Find P(S).

c. A component from subsystem B is tested and found to be operational. Find P(S).

d. A component is randomly selected (from A or B, equally) and found to be operational. Find P(S).

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