Problem 6 A patient is seen at a clinic. A recent epidemic in town shows that the probability that the patient suffers from the flu is 0.75. The probability that he suffers from walking pneumonia is 0.55. The probability that he suffers from both is 0.50. Denote by F the event that the patient suffers from the flu and by M that he suffers from pneumonia. 1. Compute P(FIM). 2. Compute P(M | F). 3. Are F and M independent? Explain