Question: Let (X sim operatorname{Geom}(p)), let (n) be a non-negative integer, and let (Y sim operatorname{Bin}(n, p)). Show that (P(X=n)=) ((1 / n) P(Y=1)).

Let $X \sim \operatorname{Geom}(p)$, let $n$ be a non-negative integer, and let $Y \sim \operatorname{Bin}(n, p)$. Show that $P(X=n)=$ $(1 / n) P(Y=1)$.

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