Question: Consider a system like the one shown in the picture. Customers arrive at rate to a three-server queuing system (as shown above). Upon being served

Consider a system like the one shown in the picture. Customers arrive at rate to a three-server queuing system (as shown above). Upon being served by station 1, denoted by [Q1, S1], a customer is sent over station 2, denoted as [Q2, S2], with probability q, or sent over to station 3,[Q3, S3], with probability 1 - q. Furthermore, customers done with service at [Q2,S2] leave the system with probability 1r, which means that a customer leaving such station can be sent back to start the process all over again at [Q1,S1] with probability r. a. [12 points] What is the rate at which customers leave station 1, [Q1, S1]? (Hint: call such rate

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