Let XXX be a discrete random variable with PMF P(X=k)=12kP(X = k) = \frac{1}{2^k}P(X=k)=2k1 for k=1,2,3,…k = 1, 2, 3, \ldotsk=1,2,3,…. What is E[X]E[X]E[X]?
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