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1 In the early 20th century, the Danish mathematician and engineer Agner Erlang developed queuing theory to find out how many telephone operators were needed

1 In the early 20th century, the Danish mathematician and engineer Agner Erlang developed queuing theory to find out how many telephone operators were needed to process a given volume of calls--so a customer was not "on hold" (or in a telephone queue) for too long. Suppose that data for Erlang's company showed that, on average, 1=240 calls per hour need to be handled (with the exponential distribution as a reasonable picture of interarrival times). The time needed to help a customer (service or processing time) is exponentially distributed with a mean of EIT]-3.75 minutes. What is the capacity of an individual operator, u. (in customers per hour)

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