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Let X be a discrete random variable with probability mass function (pmf) P (X = k)...

Let X be a discrete random variable with probability mass function (pmf) P (X = k) = C *ln(k) for k = e; e^2 ; e^3 ; e^4 , and C > 0 is a constant.

(a) Find C.

(b) Find E(ln X).

(c) Find Var(ln X).

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