Question:
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 the patient suffers from walking pneumonia is 0.55. The probability that he/she suffers from both is 0.50. Denote by F the event suffers from the flu and by M that he/she suffers from pneumonia.
(a) Interpret and compute P(F|M)
(b) Interpret and compute P(M|F)
(c) Are F and M independent? Explain.