n A certain virus is spreading rapidly through the population and doctors have come up with a new but imperfect test to determine if a patient is infected. :- 20 percent of the population is already infected with the virus. I 90 percent of infected patients test positive. 0 50 percent of healthy uninfected patients also test positive. For this section, express your answer as a simple fraction or number. 1. What is the probability that a random person tests positive? 2. What is the probability that a random person who tests positive actually has the virus? 3. Suppose an independent second test is performed on a patient that previously tested positive. This time, the test result is negative. Now what is the probability that the patient is infected with the virus