Assume Breast Cancer affects 0.005 of the female population

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 indicates you have a disease, but you actually do not)

Assume mammograms are

• 0.93 accurate detecting people who actually have breast cancer (true positive rate)
• 0.93 accurate for people who do not have breast cancer (true negative rate)

Compute the probability that a female who tests positive for breast cancer has breast cancer. Answer out to three decimal places.