Question: 5. 6. Using the distortion function g(t)=1''), find the distortion risk measure for losses that follow an exponential distribution with mean 100. The probability that

5. 6. Using the distortion function g(t)=1''),

5. 6. Using the distortion function g(t)=1''), find the distortion risk measure for losses that follow an exponential distribution with mean 100. The probability that a particular family dines out on any given day is 0.10. If they dine out, the total amount of the bill is uniformly distributed over (20,80). The amount spent on different days are independent of each other as is the event of dining out. Let S be the total amount spent in a 30-day period. Find the following: (a) E[S] and Var(S). (b) Pr(S

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