Joe is sick. He may have a cold, the flu, or a bacterial infection. The probability of a cold is 0.5, the probability of flu is 0.2, and the probability of a bacterial infection is 0.3. If his illness is a cold, Joe will miss five days of work, which will cost him $500 (lost income). If his illness is the flu, Joe will miss 8 days of work, which will cost him $800 (lost income). If his illness is a bacterial infection (and he does not treat it), Joe will miss 12 days ofwork, which will cost him $1200 (lost income). Joe (who is not sure what is wrong with him) has to decide whether or not to go to the doctor. The cost to go to the doctor will be $200. If his illness is a