A call center is having an arrival of 6 calls per minute which lasted approximately 20 seconds each. All calls arrived will be placed in a queue until the operator becomes available. 

i) Calculate the Traffic Offered to the system. (2 marks) 

ii) Recommend the minimum number of operators required to make sure that the call center is able to handle the arrival of call. (4 marks) 

iii) Describe the correlation between Traffic Offered to Traffic Carried and Traffic Loss when the system is stable. (4 marks) 

iv) Calculate the average delay. Compare the average delay if one operator is added. (6 marks) 

v) Determine the probability of a customer waiting more than 1 minute before being attended by an operator. Based on the value calculated, decide whether the call center needs to hire a new operator. (4 marks)