If N1(t), N2(t) are two independent Poisson processes with parameters ?1 and ?2 respectively, then show that P[N1(t) = k | N1(t) + N2(t) = n] = nCk pk qn-k, where p = ?1 / (?1 + ?2), q = ?2 / (?1 + ?2).
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So, \( N_{1}(t) + N_{2}(t) \) is a Poisson process with parameter \( \lambda_{1} + \lambda_{2} \). Show more…
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