1) You are planning employees for a bank. You plan for 5 tellers. Tellers take 8 minutes per customer with a standard deviation of 5 minutes. Customers will arrive one every 2 minutes according to an exponential distribution (recall that the standard deviation is equal to the mean for the exponential distribution). Every customer that arrives eventualiy gets serviced. Use waiting line approximation to answer the following questions. a. On average, how many customers would be waiting in line? (Hint: Use Litle's law) (Answer=1.605) b. On average, how long (in minutes) would a customer spend in the bank? (Hint: Wsw=Wq+1/)( Answer=11.21) 2) You are planning the new layout for the local branch of the Sixth Ninth Bank. You are considering separate cashier windows for the three different classes of service. Each class of service would be separate with its own cashiers and customers. Oddly enough, each class of service, while different, has exactly the same demand and service times. People for one class of service arrive every 3 minutes and arrival times are exponentially distributed (the standard deviation is equal to the mean). It takes 12 minutes to service each customer, and the standard deviation of the service times is 6 minutes. You assign 6 cashiers to each type of service. a. On average, how long will each waiting line be at each of the cashier windows? (Answer =0.412 ) b. On average how long (in minutes) will a customer spend in the bank? Assume they enter, go directly to one line, and leave as soon as service is complete. (Answer=13.236)