Question: Problem 3.11 Let X have the pf given by: f(x) = cx for x = 1, 2,...n; f(x)=0 elsewhere. (a) Show that c = 2

Problem 3.11 Let X have the pf given by: f(x) = cx for x = 1, 2,...n; f(x)=0 elsewhere.

(a) Show that c = 2 n(n+1) .

(b) Show that F(x) = x(x+1) n(n+1) for x = 1, 2, . . . n. Hint: 1≤i≤x i = x(x + 1) 2 .

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