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23 February, 15:05

A system contains two components, a and

b. the system will function if either a or b functions. the probability that a functions is 0.92, the probability that b is 0.93, while the probability that both function is 0.90. are the two components independent? what is the probability that the system functions?

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  1. 23 February, 15:16
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    The system does not function when both do not.

    The probability that both (i. e. system) do not function is

    P (Failure) = (1-0.92) (1-0.93) = 0.0056

    Therefore the probability that the system functions

    P (success) = 1-P (failure) = 1-0.0056 = 0.9944
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