Question: An ongoing issue in public health today is the use of mammography screening to detect breast cancer. The test itself exposes women to radioactivity, and a positive test can lead to further invasive testing (biopsies), emotional damage, or worse. With that said, mammography diagnostic tests are reported to have the following properties:

Sensitivity (Probability of a +test for a known cancer patient): 85%

Specificity( Probability of a –test for a known healthy person): 93%

Also, it is estimated that about 0.5% of the female population aged 55-74 is living with breast cancer.

a) If a patient receives a positive test for breast cancer, what is the probability she truly has cancer? (Looking for PPV. Bayes Conditional)