In: Statistics and Probability
A test is designed to detect cancer. If a person has cnacer, then the probability that the test will detect it is .95; if the person does not have cancer, the probability that the test will erroneously indicate that he does have cancer is .1. Assume 15% of the population who take the test have cancer. What is t he probability that a person described by the test as not having cancer really does have it?