The number of messages, N, arriving to a communications channel per unittime is Poisson
Chapter 5, Problem 3(choose chapter or problem)
The number of messages, N, arriving to a communications channel per unittime is Poisson distributed with parameter . The number of characters, Xi,in the ith message is geometrically distributed with parameter . Determine thedistribution of the total number of characters, Y , that arrive per unit time. (Hint:Y is a random sum.) Determine GY (z), E[Y ], and Var[Y ].
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