Question: Problem 6 (15 pts) Consider a queuing system with one server where customer arrivals occur at a deterministic time of 1 hour and service times

Problem 6 (15 pts) Consider a queuing system with

Problem 6 (15 pts) Consider a queuing system with one server where customer arrivals occur at a deterministic time of 1 hour and service times are also deterministic at 54 minutes, equivalently 0,9 hours. What is the probability that a customer sees zero people upon his arrival? Does the manager of the system have the same probability to observe zero people in the system at an arbitrary time instant? Are your answers any different if instead of deterministic assumptions we had the typical M/M/1 system with the above numbers (1 hour and 54 minutes) to represent the average arrival and service times, respectively? (5 pts each)

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