In: Statistics and Probability
Epidemiologists claim that the probability of breast cancer among Caucasian women in their mid-60s is 0.003. An established test identified people who had breast cancer and those that were healthy. A new mammography test in clinical trials has a probability of 0.90 for detecting cancer correctly. In women without breast cancer, it has a chance of 0.975 for a negative result. If a 65-year-old Caucasian woman tests positive for breast cancer, what is the probability that she, in fact, has breast cancer?