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A local bank uses a multiple channel queue, where customers wait in a single line for the first available window. If the average service time is 1.5 minutes and the arrival rate is 6 customers every five minutes, find the following:
a. The minimum number of windows to be open to allow for a feasible system.
b. When two service windows are open, what is the probability both windows are idle.
c. When three service windows are utilized, what is the average number of customers waiting in line.
d. When three service windows are utilized, what is the average time a customer waits in line.
e. When four service windows are utilized, what is the the average time a customer is in the bank.
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