Assume breast cancer affects 0.005 percent of the female population between 40 and 50 years of age.

There are two kinds of positive test results

True Positive (the test indicates you do have it, and you actually have it)

False positives (the test indicates you do have it, but you really do not).

Assume mammograms are

0.91 accurate at detecting people who have breast cancer (true positive rate),

0.94 accurate at spotting people who do not have breast cancer (true negative rate).

Compute the probability that a female between the ages of 45 and 55 who tests positive for breast cancer has breast cancer and enter answer in 3 decimal places.