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2. If $X_{1},X_{2},…,X_{n}$ constitute a random sample of size $n$ from a geometric population. Is $Y^=X_{1}+X_{2}+…+X_{n}$ a sufficient estimator of the parameter p? (Geometric probability mass function: $g(x;p)=p(1?p)_{x?1}$ where $x=1,2,…$ )

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