Question: Let X be a continuous random variable with values in [0, 1], uniform density function fX(x) 1 and moment generating function g(t) = (et 1)/t.

Let X be a continuous random variable with values in [0, 1], uniform density function fX(x) ≡ 1 and moment generating function g(t) = (et − 1)/t. Find in terms of g(t) the moment generating function for
(a) −X.
(b) 1 + X.
(c) 3X.
(d) aX + b.

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