A diagnostic test for a disease gives a positive result with probability 0.98 for people who have the disease, and a negative result with probability 0.99 for people who do not have the disease. Suppose 3% of the population have the disease. (a) (2 points) A person is selected at random from the population and given the test. If the result is positive, what is the probability that this person has the disease? (b) (3 points) Suppose a person, initially selected at random from the population, is given the test once and the result is positive. This person is then given the test, independently, a second time and the result is again positive. What is the probability that this person has the disease