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A certain small grocery store has a single checkout stand with a full-time cashier manning it....

A certain small grocery store has a single checkout stand with a full-time cashier manning it. Customers arrive at the stand randomly (i.e. Poisson input process) at a mean rate of 30 per hour. When there is only one customer at the stand, he is processed by the cashier alone, with an expected service time of 1.5 minutes. However, the stock boy has been given standard instructions that whenever there is more than one customer at the stand, he is to help the cashier by boxing the groceries. This reduces the expected time required to process a customer to 1 minute. In both cases, the service time distribution is exponential.

a) Specify the arrival rates and the service rates.

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