Question: 1. (20 points) Let X1, . . . ,Xn be a sample from a Poisson distribution with parameter 6 = E(X) where 9 > 0.

1. (20 points) Let X1, . . . ,Xn be a sample from a Poisson distribution with parameter 6 = E(X) where 9 > 0. (a) Show directly that 233:1 Xi is sufficient for 9. (b) Establish the same result using the factorization Theorem

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