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 eventually gets serviced. Use waiting line approximation to answer the following questions.
a. On average, how many customers would be waiting in line? (Hint: Use Little's law)
(Round your intermediate calculations to 4 decimal places and final answer to 3 decimal place.)
b. On average, how long? (in minutes) would a customer spend in the bank? (Hint: Ws=Wq+1/muμ)
(Round your intermediate calculations to 4 decimal places and final answer to 3 decimal place.)