Question: 4 Highly variable Service Times During peak time, customers arrive at a bank teller window (with a single teller) at a rate of 23 per

4 Highly variable Service Times During peak time, customers arrive at a bank teller window (with a single teller) at a rate of 23 per hour, where the teller can serve 25 per hour. This problems will allow you to investigate (via a simple extension of the mean queue size formula) the effect of highly variable service times on our familiar queuing metrics. The diagram below stylizes the queuing system: - O Waiting Service 12. What is the utilization of the teller? Calculate the probability of an idle teller. 13. What is the average number of customers at the window? 14. What is the distribution of the service time (denoted by T)? Calculate the marginal prola- bility P( TOT)

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