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Analyze the system of queue in an office where the population of customers is very large so that we can consider it is an infinite one. Customers for the service arrive randomly following a Poisson process. The office can process customers at an average rate of five patients an hour (one at a 12 minutes).The service process is also Poisson. Customers are served at an average of four per hour (one at 15 minutes). The office operates 12 hours a day. Determine (a) Expected Queue length (b) Expected waiting time in the system (c) Expected waiting time in the Queue.