Problem 1 is completed.

Please help regarding problem 2

Problem 1. (10 pts) Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy, who works eight hours per day. Assume that the interarrival times and the service times follow exponential distribution. a. What percentage of time is Judy idle? b. How much time, on average does a student spend waiting in line? C. How long is the (waiting) line on average? d. What is the probability that there are at least 3 students in the system? Problem 2. (10 pts) With the information given in Problem 1, the managers of the Administrative Services Office know that students hate waiting in line before getting served. The cost of good will is S10/hour for every hour that each student waits in lines. To reduce the time a student spends waiting, they know that they need to improve Judy's processing time (see the last problem). They are currently considering the following two options: 1. Install a computer system, with which Judy expects to be able to complete a student request 40 percent faster (from 2 minutes per request to 1 minute and 12 seconds, for example) b. Hire another temporary clerk working in parallel serving a single queue, who will work at the same rate as Judy. If the computer costs $50 to operate per day, while the temporary clerk gets paid $70 per day, is Judy right to prefer the hired help? Assume exponential interarrival times and exponential service times