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    Find the probability using Bayes' Theorem

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    Assume breast cancer affects .006 of the female population between 45 and 55 years of age.
    There are two kinds of positive test results:
    * True Positive (the test indicates you have a disease, and you actually have it.)
    *False Positive (the test indicate you have a disease, but you actually do not)
    Assume mammograms are
    *.94 accurate detecting people who actually have breast cancer (true positive rate)
    *.91 accurate for people who do not have breast cancer (true negative rate)
    Compute the probabilty that a female between 45 and 55 who tests positive for breast cancer has breast cancer and enter your answer with 3 decimal places

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    We are given that
    P(testing positive|has breast ...

    Solution Summary

    The solution gives detailed steps on finding the probability using Bayes' Theorem.