For n 1, 2, , let X n be a r v distributed as Poisson with parameter n, Xn P(n) (so that Eacute X n Var(X n ) n), and set Y n (X n n) n Then show that N (0, 1) Y, Z n 00

Question: For n = 1, 2,..., let X n be a r.v. distributed as Poisson with parameter n, Xn ~ P(n) (so that ÉX n =

For n = 1, 2,..., let X_nbe a r.v. distributed as Poisson with parameter n, Xn ~ P(n) (so that É›X_n= Var(X_n) = n), and set Y_n= (X_n- n)/ˆšn. Then show

that

N (0, 1). Y, Z ~ n 00

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