In a large store, there are many cashier counters. Customers arrive at the checkout area at a
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In a large store, there are many cashier counters. Customers arrive at the checkout area at a Poisson rate of five per minute. The service times are independent and exponential with a mean of one minute. Let k be a number such that the probability that the number of busy counters exceeds k is not larger than 0.05. Say without calculations whether k can be equal to 5 or to 7. Calculate k.
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