QUESTION 3 The admin office has one centralized copy machine located in a small room in the office. Jobs arrive at this copy center according to a Poisson process at a mean rate of 2 per day. The processing time to perform each job has an exponential distribution with a mean of 1/4 day. Because the copy jobs are bulky, those not being worked on are currently being stored in a room some distance from the copy machine. However, to save time in fetching the jobs, the office manager is proposing to add enough in-process storage space next to the copy machine to accommodate 3 jobs in addition to the one being processed. (Excess jobs will continue to be stored temporarily in the distant room.) a. [1 Mark] What is the probability that no jobs are in the machine? b. [2 marks] With this new proposal, what is the probability that queue length is full? C. [2 marks] Under this proposal, what is the probability of time will this storage space next to the copy machine be adequate to accommodate not more than 4 waiting jobs