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A bank has one teller that serves customers in exponentially distributed times at an average rate of 4 customers every 1 hour with service times

A bank has one teller that serves customers in exponentially distributed times at an average rate of 4 customers every 1 hour with service times exponentially distributed. The average number in queue is

1.0.

a) Determine the total expected time in the system in minutes for an average customer.

b) Determine the system utilization

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