Question: (a) Let X be a uniform variable on [0, 1]. For t 0, compute its moment generating function M X (t) = E(e tX ).

(a) Let X be a uniform variable on [0, 1]. For t 0, compute its moment generating function M_X(t) = E(e^tX).

(b) Let Y be an exponential variable with rate . Find out for which t we have M_Y(t) = E(e^tY) is finite and in this case also compute the value of M_Y(t).

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