Question

Let A > 0 be fixed and for each n - 1,2,3.., let Xn be a Binomial Random variable with parameters n, and pn -^. (i.e The number of trials is n and thıe success probability is pn --) (a) Write the moment-generating-function, Mx (t of X,. (You do not have to 72 derive it from scratch. You may use the general formula for the mgf of a binomial variable as provided in the appendix of the text). (b) Show that linnMan (t) exp(A(et-1)) , Based on the result of (b), what can you deduce about the limiting distribution of Xn? (c)
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