Question: 7.17 A random variable X has the discrete uniform distribution f(x; k) = 1 k, x= 1, 2, . . . , k, 0, elsewhere.

7.17 A random variable X has the discrete uniform distribution f(x; k) =

1 k, x= 1, 2, . . . , k, 0, elsewhere.

Show that the moment-generating function of X is MX (t) = et (1 − ek t )

k(1 − et ) .

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