2. (24 points) We study a medical test, used to detect a disease which occurs in 0.2% of the population. If a given person has the disease, then the test detects it correctly with probability 0.98, while if this person is healthy, the test wrongly detects the disease with probability 0.01. (i) (12 points) If the test says that a person has the disease, nd the probability that this person is indeed sick. (ii) [12 points) If the test says that a person is healthy, nd the probability that this person does not have the disease