Students arrive of the Administrative Services Office at on average of one every 20 minutes, and their requests take, on average, 12 minutes to be processed. The service counter is staffed by only one cleak, Judy Gumshoes, who works elight hours per day, Assume Polsson arrvals and exponential service times. a. What percentage of time is Judy idle? Note: Round your answer to 1 decimal place. b. How much time, on average, does a student spend waiting in line? Note: Do not round intermediate calculations. Round your answer to 1 decimal place. c. How long is the (waiting) line, on average? Note: Round your answer to 2 decimal places. d. What is the probability that an arriving student (Just before entering the Administrotive Services Office) will find at least one other student waling in line? Note: Do not round intermediate calculations. Round your answer to 4 decimal places