Probability that system works


A system is made up of to subsystems, A and B, connected in parallel. System A is made up of 5 switches connected in parallel. System B is made up of 5 switches connected in series. All switches function independently. The probability that the switch is operational is 0.7. Let P denote the Probability that system works.

a) Find P

b) A swtich from A is operational. Find P.

c) A swtich from B is operational. Find P.

d) A switch is randomly selected (A and B are equally likely) and found to be operational. Find P

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Basic Statistics: Probability that system works
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