Instructions: Print your name above. Print the last one problem and it is worth 6 points. Show all your work to get full credit and not guess. Use the IMAC structure in your answer. 1. John undergoes a two-test cancer screen for a rare form of bone tumor common in his family. The screening consists of two immunoassays that detect the presence of a separate antigen (Al and A2) in a patient's blood. The incidence of the cancer in the general population is 0.005%. But oncologists estimate John's risk rate is 1% given his genetic predisposition and family history. The table below lists detection rates for each test: A1 A2 True positive 65% 50% False positive 4% 2% The error-rates for the two tests are not independent. The probability of both tests being positive is 35% the patient has cancer and 1% if the patient does not have cancer. Suppose John's screening shows at lea one positive test. Is it more likely that John has this rare bone cancer than not? no cancer I more positive ]