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

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A random variable X has the Poisson distribution

f(x) = х%3D0,1,... x!

(a) Show that the moment-generating function is
Mx(t)= e(d-1)

(b) Use MX (t) to fi nd the mean and variance of the Poisson random variable.

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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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