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Let {X(t), t 0} and {Y(t),t 0} be independent Poisson processes with parameters 1 and 2, respectively. Define Z1(t) = X(t) + Y(t),r. Prove that

Let {X(t), t 0} and {Y(t),t 0} be independent Poisson processes with parameters 1 and 2, respectively. Define Z1(t) = X(t) + Y(t),r. Prove that Z(t) is a Poisson process.

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