Question: 1. Let N1(t) : t 0 and N2(t) : t 0 be independent Poisson processes with rates and , respectively.

1. Let



N1(t) : t ≥ 0


and



N2(t) : t ≥ 0


be independent Poisson processes with rates

λ and μ, respectively. For n,m ≥ 1, find the probability that the  nth event of the process N1(t) : t ≥ 0


occurs before the mth event of the process



N2 : t ≥ 0


.

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