Show that the moment generating function is M X ( t ) = e t ( 1 − e t m ) m ( 1 − e t ) .

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Chapter 5.6, Problem 91E

a.

To determine

Show that the moment generating function is MX(t)=et(1−etm)m(1−et).

b.

To determine

Find the mean and variance of X using MX(t).

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