5 Suppose you have the following information (and suppose it is correct): > The current baseline rate to be infected with COVID is 12% P If a patient has COVID, a COVID test will return positive with 75% probability P If a patient does not have COVID, a COVID test will return positive with 25% probability > Question 1: What is the probability that a someone has COVID given that you see a positive COVID test result? 5 Question 2: What is the probability that someone does not have COVID given the test is negative? > Question 3: What is the probability that someone has COVID if the false positive rate is reduced by half