(Step-by-Step) a) In Arlington, 25% of all homes are all electric. Sixty percent of the all-electric homes have air conditioning while only one-fourth of


Question: a) In Arlington, 25% of all homes are all electric. Sixty percent of the all-electric homes have air conditioning while only one-fourth of the gas-healed homes are air-conditioned. During a casual conversation, a young woman you just met at Bardo remarks how nice it is to return home after work this summer because her air-conditioning is set very low. What is the probability that she lives in an all-electric home?

b) You are the production manager for ING Oil and Gas Exploration examining a candidate site. Assume that oil either exists in producible quantities or does not exist at all. Similar site have yielded oil about 20% of the time.

A test is performed on the soil at the site. In the past, oil was present 90% of the times that the test indicated "oil." Conversely, oil was actually present 15% when the test results indicated "no oil."

If a single test is run and indicates that oil is present, what is the revised probability that oil is actually present?

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