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# Medical researchers know that the probability of getting

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Medical researchers know that the probability of getting [#permalink]

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01 Jan 2005, 22:44
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Medical researchers know that the probability of getting lung cancer if a person smokes is .34. The probability that a nonsmoker will get lung cancer is .03. It is also known that 11% of the population smokes. What is the probability that a person with lung cancer will have been a smoker?
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02 Jan 2005, 21:12
0.58.

3.73 / 3.74+2.67 (ppl with lung cancer and smoked / total with cancer)= 0.58
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03 Jan 2005, 14:37
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0.58.

3.73 / 3.74+2.67 (ppl with lung cancer and smoked / total with cancer)= 0.58

I'm just going to spell out what you did.

(.11*.34)/(.11*.34 + .89*.03) = .0374/.0641 = 58.3%
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