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Q1 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 Gumshoes. Assume Poisson arrivals and exponential service times. (a) How much time, on average, does a student spend waiting in line? (4 points) Prepare for VUT calculation Show VUT calculation and final answer to the question: (b) How long is the (waiting) line on average? ( 2 points)