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A maintenance firm has gathered the following information regarding the failure mechanism for air conditioning systems. Gas Leaks Yes 57 Evidence of Yes electrical

A maintenance firm has gathered the following information regarding the failure mechanism for air conditioning systems. Gas Leaks Yes 57 Evidence of Yes electrical failure No 30 No 11 15 If this is a representative sample of AC failure, find the following probabilities. (a) That there was a gas leak, given that there was evidence of electrical failure. (b) That there was evidence of electrical failure, given that there was a gas leak. (c) Let A be the event that there is a gas leak and let B be the event that there is evidence of electrical failure. Find P(A| B').

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