40. Show that if {Ni(t),t 0} are independent Poisson processes with rate i, i = 1, 2,...

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40. Show that if {Ni(t),t 0} are independent Poisson processes with rate

λi, i = 1, 2, then {N(t),t 0} is a Poisson process with rate λ1 + λ2 where N(t) = N1(t) + N2(t).

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