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* Question 2 *** Express final answers for this question as fractions in lowest terms or integers. Customers arrive at a bank at a mean rate of 24 customers per hour. The bank currently has 1 teller, who takes an average of 2 minutes to serve a customer. It is also known that both the interarrival time and the service time have an exponential distribution. Assume that the bank can accommodate any number of customers. 2.1 What is the expected number of customers waiting in the bank? (2 points) 2.2 How many minutes is each customer expected to spend waiting in a queue? (2 points) 2.3 What is the probability that there are no customers waiting in a queue? (2 points) Use the information below to answer the remaining parts of Question 2. During peak hours, customers arrive at a mean rate of 40 customers per hours. The bank is then operated by 2 tellers, each of which takes an average of 2 minutes to serve a customer. Let P, be the probability that there are n customers in the bank. 2.4 It is known that P.-C.Po, where C, is a constant. Calculate the values of G,C2,C3 and C. (2 points) 2.5 What is the probability that there are no customers in the bank? (3 points) 2.6 What is the expected number of customers waiting in a queue? (2 points) 2.7 How many minutes is each customer expected to wait before getting service from the teller? (2 points)