Ononot — Let X be a random variable such that P(X=k) = \frac{1}{2^{k+

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Random Variableshard

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Let $X$ be a random variable such that $P(X=k) = \frac{1}{2^{k+1}}$ for $k=0, 1, 2, \dots$ . Calculate $E[X^2]$ .