Question: Consider a two-server system in which customers arrive at a Poisson rate 1 at server 1. Aer being served by server 1 they then join

Consider a two-server system in which customers arrive at a Poisson rate 1 at server 1. Aer being served by server 1 they then join the queue in front of server 2. Suppose there is innite waiting space at both servers. Each server serves one customer at a time with server i taking an exponential time with rate pi for a service, i = l, 2. I. Calculate the 1:Ir|:n|:al:Iilit3r that there are 11 customers at server 1 and 2 II. Verify that the number of customers at server 1 is independent of the number at server 2 III. Calculate the average time a customer spends in the system 15 C03 P02

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