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Problem 3 - 8 POINTS TOTAL. Let In be an I.I.D. sequence of Poisson random variables with a parameter A. Consider the construction of a

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Problem 3 - 8 POINTS TOTAL. Let In be an I.I.D. sequence of Poisson random variables with a parameter A. Consider the construction of a sum process as follows: n Sn = li = Sn-1+ In, for n E Z+ and So = 0 i=1 . 4 POINTS Determine the pmf of S, in this case. . 4 POINTS Determine the joint pmf of Sn and Sntm

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