Question: 1. Given an M/M/1 queue with arrival rate 1=6 cust/hr and a service rate u=8 cust/hr. (a) Draw the rate-transition diagram with the numerical values

1. Given an M/M/1 queue with arrival rate 1=6

1. Given an M/M/1 queue with arrival rate 1=6 cust/hr and a service rate u=8 cust/hr. (a) Draw the rate-transition diagram with the numerical values for the arrival and service rates Calculate the following quantities: (b) Utilization (c) The probability there are no entities in the system (d) Expected wait-time for the system (e) Expected number of entities in the system (f) Expected wait-time in the queue waiting in line (g) Expected number of entities in queue waiting in line (h) The probability there are between 2 and 5 entities in the system

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