Let X be a discrete random variable with values in {0, 1, 2, . . . ,

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Let X be a discrete random variable with values in {0, 1, 2, . . . , n} and moment generating function g(t). Find, in terms of g (t), the generating functions for
(a) −X.
(b) X + 1.
(c) 3X.
(d) aX + b.
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