3.2% of a population are infected with a certain disease. There is a test for the disease, however the test is not

completely accurate. 91.4% of those who have the disease will test positive. However, 4.2% of those who do not have the disease will also test positive (false positives).

a) If you pick a person at random, what is the probability that the person is infected and tests positive?

b) If you pick a person at random, what is the probability that a person will test positive?