# 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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Answer:

We are given that

P(testing positive|has breast ...

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