Important uses of moment generating function
a. Give at least two important uses of the moment generating function (mgf) of an rv.
b. Could M(t) = 1/2 e^(-2t) + 2/5 e^(-t) - 2/5 be the mgf of a discrete rv X? Explain
c. If the discrete rv X has mgf M(t) = (1 - 2t)^(-2/3), find E(X) and Var(X).
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