a) Show that for two independent random variable X, Y MX+Y (t) = MX(t)MY (t) b) Suppose X is binomial random variables with parameter n and p, and Y is binomial with parameter m and p. Suppose that X and Y are independent i) Find the mgf of X ii) Find the mgf of the r.v Z = X + Y . Hence or otherwise, determine the distribution of

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