Question: Problem 4 Customers arrive at a single-service facility at a Poisson rate of 40 per hour. When two or fewer customers are present, a

Problem 4 Customers arrive at a single-service facility at a Poisson rate of 40 per hour. When two or fewer customers are present, a single attendant operates the facility, and the service time for each customer is exponentially distributed with a mean value of two minutes. However, when there are three or more customers at the facility, the attendant is joined by an assistant and, working together, they reduce the mean service time to one minute. Assuming a system capacity of four customers, (a) What proportion of time are both attendants free? (b) Find all T- (c) What proportion of time is the original attendant busy? (d) What proportion of time is the second attendant busy?

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