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Customers arrive at the Shortstop convenience store at a rate of 20 per hour. When two or fewer…

Customers arrive at the Shortstop convenience store at a rate of 20 per hour. When two or fewer customers are present in the checkout line, a single clerk works and the service time is three minutes. However, when there are three or more customers are present, an assistant comes over to bag up the groceries and reduces the service time to two minutes. Assuming the service times are exponentially distributed, find the stationary distribution.