Problem

a. Show that the distribution of X1, . . . , Xn given T is independent of λ,...

a. Show that the distribution of X1, . . . , Xn given T is independent of λ, and conclude that T is sufficient for λ.

b. Show that X1 is not sufficient.

c. Use Theorem A of Section 8.8.1 to show that T is sufficient. Identify the functions g and h of that theorem.

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