A random variable X has the discrete uniform distribution (a) Show that the moment-generating function is (b)

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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.

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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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