A recent study showed that 0.5% of women over 50 have breast cancer. 90% of women who have breast cancer test positive on mammogram. And 10% of women have false positive, i.e., test positive on mammogram even they do not have breast cancer. a. Compute the probability that a woman would test positive on mammogram. b. Assume a woman have a positive mammogram result, what is the probability that she actually has breast cancer?

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A recent study showed that 0.5% of women over 50 have breast cancer. 90% of women who have breast
cancer test positive on mammogram. And 10% of women have false positive, i.e., test positive on mammogram even
they do not have breast cancer.
a. Compute the probability that a woman would test positive on mammogram.
b. Assume a woman have a positive mammogram result, what is the probability that she actually has breast
cancer?
Transcribed Image Text:A recent study showed that 0.5% of women over 50 have breast cancer. 90% of women who have breast cancer test positive on mammogram. And 10% of women have false positive, i.e., test positive on mammogram even they do not have breast cancer. a. Compute the probability that a woman would test positive on mammogram. b. Assume a woman have a positive mammogram result, what is the probability that she actually has breast cancer?
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