QUESTION 5 (25 points! Decision Analysis On Thursday, Mr. Cormier (58 years old, family history of heart problems) decided to see his doctor about chest pains. He learned that his \"bad\" cholesterol was high. Dr. Walla presented him with a choice: (1) severe and immediate saturated and transfat reduction diet, or (2) gradual reduction in saturated and trans fat intake from a slowchange diet with anticholesterol pill supplements. The doctor believed that if Mr. Cormier strictly followed either of these options, then he could indeed end up with no cholesterol problem. Alternatively, his cholesterol problems might well continue under any strategy. Mr. Cormier also considered the \"Do Nothing\" option and the \"No Cholesterol Problem\" state as most desirable, and he assigned it a score (consequence) of +10. Since it would be difcult to go on the severe diet, he assessed the score of \"Severe Diet\" and the \"No Cholesterol Problem\" state as only +7, and nally, since he did not like taking pills, he assessed the score of \"Gradual Diet + Pills\" and the \"No Cholesterol Problem\" state as only +8. He also gave a score of -9 to the case of \"Continuing Cholesterol Problems\" under the \"Severe Diet\" option, while assigning a score of -15 for the \"Continuing Cholesterol Problems\" after the Gradual Diet option that included taking pills. Finally, he assigned a score of -12 to the \"Do Nothing\" and the \"Continuing Cholesterol Problems\" outcome. Note: It is assumed that the only possible outcomes are: (1) \"No Cholesterol Problem\