If S n X 1 X n , where the Xs are i i d , then as we know, M Sn (z) (MX (z)) n , where MX (z) is the m g f of X i Show that Proposition 2 includes this case

Question: If S n = X 1 +...+X n , where the Xs are i.i.d., then as we know, M Sn (z) = (MX (z)) n

If S_n = X₁ +...+X_n, where the X’s are i.i.d., then as we know, M_Sn (z) = (MX (z))ⁿ, where MX (z) is the m.g.f. of X_i. Show that Proposition 2 includes this case.

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