Question: A random variable X has the discrete uniform distribution (a) Show that the moment-generating function is (b) Use MX (t) to fi nd the mean

A random variable X has the discrete uniform distribution

=, x=1,2,.m f(x) т

(a) Show that the moment-generating function is

e (1-ет) Mx(t) = т(1—е')

(b) Use MX (t) to fi nd the mean and variance of X.

=, x=1,2,.m f(x) e (1-) Mx(t) = (1')

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