Question: Problem 3.30 The random variable X has the pf defined by f(x) = 1 x(x + 1) for x = 1, 2, . . .

Problem 3.30 The random variable X has the pf defined by f(x) = 1 x(x + 1) for x = 1, 2, . . . , n, . . . . Show that E(X) = ∞ by verifying that 1≤x<∞ xf(x) = ∞, and therefore it does not satisfy the finiteness condition 3.8.

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