Question: Consider two queueing systems. The first has one server and no limit on the length of the queue. Customers arrive according to a Poisson process

 Consider two queueing systems. The first has one server and nolimit on the length of the queue. Customers arrive according to a

Consider two queueing systems. The first has one server and no limit on the length of the queue. Customers arrive according to a Poisson process with rate A. The service time is exponentially distributed with rate /. /x is proportional to the number of people in the system. That is, where k is the number of people in the system and / is a constant. He = ku X = 1.5 # = 1.6Determine the steady-state probability ] (Please round to 3 decimal places). Calculate the average number of people in the system (Please round to 3 decimal places). Calculate their average time in the system

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