Consider two medical tests, A and B, for a virus. Test A is 90% effective at recognizing the virus when it is present, but has a 5% false positive rate (indicating that the virus is present, when it is not). Test B is 95% effective at recognizing the virus, but has a 10% false positive rate. The two tests use independent methods of identifying the virus. The virus is carried by 2% of all people. (a) Say that a person is tested for the virus using only Test A. What is the probability that the person is really carrying the virus given that Test A came back positive? (2 points) (b) Say that a person is tested for the virus using only Test B. What is the probability that the person is really carrying the virus given that Test B came back positive? (2 points) (c) Say that a person is tested for the virus using both tests. What is the probability that the person is really carrying the virus given that both tests came back positive? (2 points) Problem 2 6 points Suppose you work for a credit card company which has been suffering massive losses due to fraudulent