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A parallel system functions whenever at least one of the three componentsA, B,andC works, with probability0.8,0.4, and 0.5respectively. Find the conditional probability: (a) The componentA

A parallel system functions whenever at least one of the three componentsA, B,andC works, with probability0.8,0.4, and 0.5respectively. Find the conditional probability:

(a) The componentA works, given that the system is functioning.

(b) The componentA works, given that the system is functioning but the componentB does not work.

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