Problem 3. Suppose that 4% of the patients tested in a clinic are infected with avian flue. Also, suppose that when a blood test for avian flue is given, 98% of the patients infected with avian flue test positive and that 2% of the non-infected patients test positive. What is the probability that: (a) a patient testing positive for avian flue is infected with it? (b) a patient testing positive for avian flue is not infected with it? (c) a patient testing negative for avian flue is infected with it? (d) a patient testing negative for avian flue is not infected with it? Provide detailed iustification for vour answers. Problem 3. Suppose that 4% of the patients tested in a clinic are infected with avian flue. Also, suppose that when a blood test for avian flue is given, 98% of the patients infected with avian flue test positive and that 2% of the non-infected patients test positive. What is the probability that: (a) a patient testing positive for avian flue is infected with it? (b) a patient testing positive for avian flue is not infected with it? (c) a patient testing negative for avian flue is infected with it? (d) a patient testing negative for avian flue is not infected with it? Provide detailed iustification for vour answers