in excel

7. (8 points) Carolyn Ruff has been collecting data at the Minnesota State student grill. She has found that, between 5:00 p.m. and 7:00 p.m., students arrive at the grill at a rate of 18 per hour (Poisson distributed) and service time takes an average of 2.5 minutes (negative exponential distribution). There is only 1 server, who can work on only 1 order at a time. (a) What is the average number of students in line? (b) What is the average time a student is in the grill area before sitting down to eat? (c) Suppose that a second server can be added to team up with the first (and, in effect, act as a single fast server). This would reduce the average service time to 1.8 minutes. How would this affect the average time a student is in the grill area? (d) Suppose instead that a second server is added and the 2 servers act independently, with each taking an average of 2.5 minutes. (Assume that customers line up in a single line.) What would be the average time a student is in the grill area? 8. ( 5 points) During the evening hours, an average of 42 customers can be found in Gabi's Putt-Putt Challenge. About 28 customers arrive each hour. Using Little's Law, how long does each customer stay at Gabi's (in minutes, rounded to three decimal places)