Consider the following data for a group of 2000 women. Of these women, 16 are known to have breast cancer. All 2000 undergo the same test to determine whether or not they have breast cancer, and 154 test positive. 14 of the 16 that have breast cancer test positive and 140 of those that do not have breast cancer test positive.
Find the probability that a woman has breast cancer given that her test result is positive.
Find the probability that a woman does not have breast cancer given that her test result is negative.
