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

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

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