Neve Commercial Bank is the only bank in the town of​ York, Pennsylvania. On a typical​ Friday, an average of 1010 customers per hour arrive at the bank to transact business. There is one teller at the​ bank, and the average time required to transact business is 33 minutes. It is assumed that service times may be described by the negative exponential distribution. A single line would be​ used, and the customer at the front of the line would go to the first available bank teller. If a single teller is​used:​ a) The average time in the line (minutes)​ =
b) The average number in the line​ (customers) =
​c) The average time in the system (minutes)​ =
d) The average number in the system (customers)​ =
​e) The probability that the bank is empty​ =
​f) CEO Benjamin Neve is considering adding a second teller​(who would work at the same rate as the​ first) to reduce the waiting time for customers. He assumes that this will cut the waiting time in half:
If a second teller is​ added, the average time a customer spends in the queue​ =
If a second teller is​ added, the average number of customers in the queue​ =  
If a second teller is​ added, the average time a customer spends in the system​ =
If a second teller is​ added, the average number of customers in the system​ =  
If a second teller is​ added, the probability that the bank is empty​ =
​(round your response to two decimal​ places).