# Question: Let Xi t i 1 2 n be a

Let, Xi (t) i = 1, 2… n, be a sequence of independent Poisson counting processes with arrival rates,λi. Show that the sum of all of these Poisson processes,

Is itself a Poisson process. What is the arrival rate of the sum process?

Is itself a Poisson process. What is the arrival rate of the sum process?

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