Question: Let packets arrive from source 1 as a Poisson process with rate ?1 and from independent source 2 with rate ?2. Show that the aggregate

Let packets arrive from source 1 as a Poisson process with rate ?1 and from independent source 2 with rate ?2. Show that the aggregate arrival process is a Poisson process with rate ?1 + ?2.

(Hint: Let Z denote the aggregate process and calculate P{Z>t}; If two random variables X and Y are independent, then P{X > x and Y > y} = P{X>x}.P{Y.y})

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