80 of women with breast cancer will get positive

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Unformatted text preview: men at age forty who participate in routine screening have breast cancer. 80% of women with breast cancer will get positive mammographies. 9.6% of women without breast cancer will also get positive mammographies. A woman in this age group had a positive mammography in a routine screening. What is the probability that she actually has breast cancer? What do we know? - P (cancer) = 0.01, P (test pos. | cancer) = 0.8, and P (test pos. | no cancer) = 0.096. We want to find P (cancer | test pos.) This is an application of Bayes theorem: P (cancer | test pos.) = = = 3 P (cancer...
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