4 Of all 40-year-old women, 1% have breast cancer. If a woman has breast cancer, a mammogram...

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4 Of all 40-year-old women, 1% have breast cancer. If a woman has breast cancer, a mammogram will give a positive indication for cancer 90% of the time. If a woman does not have breast cancer, a mammogram will give a positive indication for cancer 9% of the time. If a 40-year-old woman’s mammogram gives a positive indication for cancer, what is the probability that she has cancer?

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