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Statistics Pr(E H) Pr(H) Pr( H|E) Pr(EH) Pr(H) + Pr(E not H) Pr(not H) *The chance evidence is real (supports a hypothesis) is the chance

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Pr(E H) Pr(H) Pr( H|E) Pr(EH) Pr(H) + Pr(E not H) Pr(not H) *The chance evidence is real (supports a hypothesis) is the chance of a true positive among all positives (true or false) Use Bayes Theorem to compute the possibility that a woman has breast cancer given these conditions: . 0.034 of women have breast cancer in the population . 0.93 of mammograms will find cancer when you have cancer . 0.92 of mammograms will not find breast cancer when it is not present. Round your answer to three decimals

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