Problem 1) A test is used to determine whether a person is infected by a virus. The probability that the test correctly identifies someone with the virus infection as positive is 0.8, and the probability that the test incorrectly identifies someone without the virus infection as positive is 0.05. The probability of virus infection in the general population is 0.005. (a) (8 points) A person takes the test and the result is positive. What is the probability that the person has the virus infection? (Round your answer to four decimal places)