Answer Happy

FGB Bank is considering opening a drive-through window. Management estimates that customers will arrive at a rate of 18 per hour, the heller inghe a window can serve customers at a rate of 24 per hour. Assume Poisson arrival and exponential service Part a What is the average number waiting system Part : What Percentage of time the telier is froo Parte: What is the Probability of 3 customers in the system Parto: What is the average number waiting in line Parte: What is the Average waiting time in queue

W = Average time waiting in line w - Average total time in system including time to be served n-Number of units in the system 5 - Number of identical service charmes P-Probability of exactly nurvits in system P.-Probability of waiting in line -Amival rate Service rate 1 - Average service time - Average time between arrivals А - Ratio of total arrivat rate to service rate for a single server (A) - Average number waiting in line 4 - Average number in system (including any being served) 4 Model MA A) 1 w 1 - A) We P. - (: AY ik ik p=