Question: Let X 1 , X 2 , . . . , X n be a random sample of size n from the geometric distribution, p

Let X₁, X₂, . . . , X_n be a random sample of size n from the geometric distribution, p_X(k; p) = (1 − p)^k−1 p, k = 1, 2, . . .. Show that p̂ = is sufficient for p.

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