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An average of 100 cars arrive at the drive through window at a Tim Hortons drive-through in the period between 8:00 and 9:00 AM. The average time to serve the car is 20 seconds. In the questions below you may assume that the assumptions required to use the queueing formulas in the text are met.
a. Calculate the average time a customer waits (in queue and being served) and the average number of cars in the queue.
b. Calculate the probability that there are more than three cars in the system.
c. Suppose it is company policy that the average wait (in queue and being served) for a customer should be no more than 1 minute. What is the maximum average number of arrivals that the restaurant could serve (with the 20 second service time)?
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