QUESTION 2 : [ 15 MARKS ] Capitech is the only bank in Kwazakhele. On a typical Friday, an average of 12 customers per hour arrives at the bank to transact business. There are two tellers at the bank, and the average time required to transact business is 3 minutes. It is assumed that service times can be described by the exponential distribution. You are required to provide answers to the various characteristics pertaining to multichannel queuing systems

2.1. The probability that the bank is empty is . %.

2.2. The average number of customers waiting in line, being served and leaving the bank is . customers.

2.3. The average time a customer spends in the waiting line and being served is . minutes.

2.4. The average number of customers waiting to be served is . customers.

2.5. The average time a customer spends in the queue waiting to be served is minutes.

2.6. The % of time which the teller is busy is .%.

2.7. The value of is ........ customers per hour.

2.8. The value of is ....... customers per hour.

2.9. The value of m is ....... channels.