Part A - Multiple choice questions. Answer all questions. Marks for each question are specified in brackets Questions 1-5 relate to the following scenario: A small high street bank currently has one ATM machine, located inside the bank. Customers who are using the machine, have started to complain to the bank, arguing that there is a need for another machine, given the amount of time customers are having to wait to use the machine. The bank are taking these complaints seriously and are considering the installation of another ATM. As part of the banks feasibility study you have been asked to provide some analysis on the validity of the customer complaints. On average 20 customers are served per hour by the ATM, and the arrival rate of customers is 18per hour. Using queuing theory, calculate the following: 1. The probability that there is no queue. A. 0% B. 20% C. 10% D. 90% (3 marks) 2. The probability that there are 4 people in the queue. A. 66% B. 33% C. 11% D. 6.6.% (3 marks) 3. The average number of people in the system A. 10 B. 9 C. 8 D. 7 (3 marks) 4. The average number of people in the queue (to the nearest whole number) A. 10 B. 9 C. 8 D. 7 (3 marks) 5. The average amount of time people wait in the queue for the ATM. A. 27 minutes B. 45 minutes C. 45 seconds D. 3 minutes