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Question 10 A bank employs four tellers to serve its customers. Customers arrive according to a Poisson process at a mean rate of two per minute. However, business is growing and management projects that the mean arrival rate will be three per minute a year from now. The transaction time between a teller and a customer has an exponential distribution with a mean of one ruinute. Management has established the following guidelines for a satisfactory,r level of service to customers. The average number of customers waiting in line to begin service should not exceed one. At least 95% of the time, the number of customers waiting in line should not exceed ve. For at least 95% of customers, the time spent in line waiting to begin service should not exceed ve minutes. {a} Use the Mvlfs model to determine how well these guidelines are cur rentlg.r being satised. {b} Evaluate how well the guidelines will be satised a year from now if no change is made in the number of tellers. Hint: Use the fact that in an Mfo5 system, if 335;, denotes the time that a customer spends waiting in the queue, then