The SSS Law firm produces legal documents that must be word processed for clients and the firm. Requests average 8 pages of documents per hour, and they arrive according to a Poisson distrubition. The secretary can word process 10 pages per hour on average according to an exponential distribution.
a. What is the average utilization rate of the secretary?
b. What is the probability that more than 4 pages are waiting or being word processed?
c. What is the average number of pages waiting to be word processed?