I was trying to work through some problems in an old exam. Could someone help me out with these?

The random variable X follows a two parameter Pareto distribution with parameters, theta = 100 and alpha = 2.

The mean excess loss function, e_X(k) is defined to be E[X-k|X>=k].

25. Determine the range of e_X(k) over its domain of [0,infinity).

26. Y = 1.1X Determine the range of the function {e_Y(k)}/{e_X(k)} over its domain [0,infinity).

27. Z = min(X,500) Determine the range of e_Z(k) over its domain of [0,500].

The random variable X follows a two parameter Pareto distribution with parameters, theta = 100 and alpha = 2.

The mean excess loss function, e_X(k) is defined to be E[X-k|X>=k].

25. Determine the range of e_X(k) over its domain of [0,infinity).

26. Y = 1.1X Determine the range of the function {e_Y(k)}/{e_X(k)} over its domain [0,infinity).

27. Z = min(X,500) Determine the range of e_Z(k) over its domain of [0,500].

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