6. You are a physician trying to decide whether to administer flu vaccinations. You have the following information: iii) i) 95% of patients are normal (N) and generally respond well to flu vaccine, but 5% are abnormal (-N). ii) Among the normal group N: 10% develop regular flu (F) if vaccinated (V), while 30% develop regular flu (F) if not vaccinated (-V). The rest do not develop any type of flu. Among the abnormal group-N: 100% will contract a virulent strain of flu (S) if vaccinated (V), while 30% develop regular flu (F) if not vaccinated (and the rest will not develop any type of flu). Using the following symbols, re-state all of the information in i) - iii) using probabilities (conditional and unconditional, as appropriate). F = patient contracts regular flu S = patient contracts virulent strain of flu N= patient is normal V = patient is vaccinated Given that you (the physician) don't know whether your patient falls in the normal group, construct the decision table and decide whether to administer the flu vaccination. The relevant utilities are: a) b) u(-(F v S)) = 100 -- best case: no flu of any type u(F) = 50 -- second best: patient develops regular flu u(S) = 0 -- worst case: patient develops virulent strain of flu (We assume that the effect of vaccination itself on utility is negligible.) 6. You are a physician trying to decide whether to administer flu vaccinations. You have the following information: iii) i) 95% of patients are normal (N) and generally respond well to flu vaccine, but 5% are abnormal (-N). ii) Among the normal group N: 10% develop regular flu (F) if vaccinated (V), while 30% develop regular flu (F) if not vaccinated (-V). The rest do not develop any type of flu. Among the abnormal group-N: 100% will contract a virulent strain of flu (S) if vaccinated (V), while 30% develop regular flu (F) if not vaccinated (and the rest will not develop any type of flu). Using the following symbols, re-state all of the information in i) - iii) using probabilities (conditional and unconditional, as appropriate). F = patient contracts regular flu S = patient contracts virulent strain of flu N= patient is normal V = patient is vaccinated Given that you (the physician) don't know whether your patient falls in the normal group, construct the decision table and decide whether to administer the flu vaccination. The relevant utilities are: a) b) u(-(F v S)) = 100 -- best case: no flu of any type u(F) = 50 -- second best: patient develops regular flu u(S) = 0 -- worst case: patient develops virulent strain of flu (We assume that the effect of vaccination itself on utility is negligible.)