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$$ \begin{aligned} f(x|p)&=p(1-p)^{x-1}\\\\ F(x|p)&=1-(1-p)^{x}\\\\ h(x|p)&=\frac{p(1-p)^{x-1}}{(1-p)^{x-1}}=p\\\\\ E[X]&=\frac{1}{p}\\\\ Var[X]&=\frac{1-p}{p^2} \end{aligned} $$

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