Question: 1. Suppose we have an M/Go queue where the arrival process is a Poisson process with rate 1 > 0 and that the service times

1. Suppose we have an M/Go queue where the arrival process is a Poisson process with rate 1 > 0 and that the service times S1, S2, ... are i.i.d., nonnegative, integer-valued random variables with pk := P{S1 = k}. Assume that E[S1] 0 has a Poisson distribution with mean End(t Ak)pk. (b) Can you find the limiting distribution of the number of customers in the system as t - co? (If you interchange a limit and a sum, please justify the interchange.)

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