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Find the mean (or expectation) of a discrete random variable \( X \) whose probability function ...
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Find the mean (or expectation) of a discrete random variable \( X \) whose probability function is given by
\[
f(x)=\left(\frac{1}{2}\right)^{x} \text { where } x=1,2,3, \ldots
\]
\[
f(x)=\left(\frac{1}{2}\right)^{x} \text { where } x=1,2,3, \ldots
\]
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