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Customers arrive at a bank teller machine at the rate one every three minutes. Each customer spends an average of two minutes at the teller machine.

Customers arrive at a bank teller machine at the rate one every three minutes. Each customer spends an average of two minutes at the teller machine. The arrival rate and the service rate are approximated by Poisson and negative exponential distributions respectively.Determine the following:a – utilization of the teller machineb – average number of customers in linec – average number of customers in the systemd – average time customers spend in linee – average time customers spend in the systemf – probability of three customers in the systemg – probability of two or more customers in the system.

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