queuing theory, Advanced Statistics

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1) Let N1(t) and N2(t) be independent Poisson processes with rates, ?1 and ?2, respectively. Let
N (t) = N1(t) + N2(t).
a) What is the distribution of the time till the next epoch of N2(t)?
b) What is the probability that the next epoch of N (t) is an epoch in N1(t)?
c) What is the distribution of the next epoch of N (t)?
d) What is the mean number of N1(t) epochs before the next epoch of N2(t)?

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