7.12 Customers arrive at a checkout counter in a grocery store according to a Poisson process with...

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7.12 Customers arrive at a checkout counter in a grocery store according to a Poisson process with an average rate of 10 customers per hour. There are two clerks at the counter, and the time either clerk takes to serve each customer is exponentially distributed with an unspecified mean. If it is desired that the probability that both cashiers are idle is to be no more than 0.4, what will be the mean service time?

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