m #2: A maintenance firm has gathered the following information regarding the failure mechanism for air conditioning systems. Yes Evidence of electrical failure No Gas Leaks Yes 64 28 No 11 19 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 E be the event that there is a gas leak and let F be the event that there is evidence of electrical failure. Find PELE

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Chapter1: Combinatorial Analysis
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Problem #2: A maintenance firm has gathered the following information regarding the failure mechanism for air conditioning
systems.
Gas Leaks
Yes
Evidence of
Yes
64
electrical failure No 28
No
11
19
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 E be the event that there is a gas leak and let F be the event that there is evidence of electrical failure. Find
P(E|F).
Transcribed Image Text:Problem #2: A maintenance firm has gathered the following information regarding the failure mechanism for air conditioning systems. Gas Leaks Yes Evidence of Yes 64 electrical failure No 28 No 11 19 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 E be the event that there is a gas leak and let F be the event that there is evidence of electrical failure. Find P(E|F).
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