Let X be a non-negative integer random variable, that is, X =0, 1, 2, 3, and Mx (t) its respective moment-generating fun

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Let X be a non-negative integer random variable, that is, X =0, 1, 2, 3, and Mx (t) its respective moment-generating function.
i) Show that

Let X Be A Non Negative Integer Random Variable That Is X 0 1 2 3 And Mx T Its Respective Moment Generating Fun 1 (4.03 KiB) Viewed 21 times

II) The following expressions are proposed

Let X Be A Non Negative Integer Random Variable That Is X 0 1 2 3 And Mx T Its Respective Moment Generating Fun 2 (4.58 KiB) Viewed 21 times

as functions generating moments of the variable X. Indicate which of them would be chosen.
P(X=0) = lím Mx(t). ) = t--oo
e2(ee'-1-1) у e2(ее" -1).