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(Solved): (b) \( \left(X_{1}, X_{2}, \ldots X_{n}\right) \) constitute a random sample of size \( n \) from ...
(b) \( \left(X_{1}, X_{2}, \ldots X_{n}\right) \) constitute a random sample of size \( n \) from a Poisson distribution with parameter \( \lambda \). Show that \( Y=X_{1}+X_{2}+\cdots+X_{n} \) is a sufficient statistic of \( \lambda \).
Expert Answer
Given that, X1, X2, .....,Xn be a random sample of size n from Poission( ?). Then, joint distribution o