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 An amusement park has plans to install a free pop up game booth in during slower summer days

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 An amusement park has plans to install a free pop up game booth in during slower summer days. Previous experience indicates that, on average, 10 persons per hour will use the booth. Assume arrivals are Poisson distributed from an infinite population. The game takes a constant time of five minutes per player. Assume the queue length can be infinite with FCFS discipline.

1. What average number in line can be expected?
2. What average number of persons can be expected to be in the system?
3. What is the average amount of time that a person can expect to spend in line?
4. On some days, the arrival rate can be expected to increase to over 12 per hour. What effect will this have on the number in the waiting line?