Question: FGB Bank is considering opening a drive-through window. Management estimates that customers will arrive at a rate of 30 per hour, the seller staffing the

FGB Bank is considering opening a drive-through window. Management estimates that customers will arrive at a rate of 30 per hour, the seller staffing the window can serve customers at a rate of 40 per hour Assume Polsson arrival and exponential service Put a What is the utilization (p) Path: What Percentage of time the teller is free Paite. What is the probability of a customers in the system Parto What is the average number waiting system Parte What is the average waiting time in system W = Average time waiting in line W - Average total time in systern (including time to be served) n = Number of units in the system S = Number of identical service channels P. = Probability of exactly n units in system P. - Probability of waiting in line 1 = Arrival rate = Service rate - Average service time - Average time between arrivals p = Ratio of total artial rate to service rate for a single server C) - Average number waiting in line 4.- Average number in system (including any being served AP Model -- 1) W. 6- ) P. - (1 A) A) p=

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