please answer a to d

Students arrive at the Montclair State University Registrar Office at an average of one every 24 minutes, and their requests take, on average, 16 minutes to be processed. The service counter is staffed by only one clerk, Simon Brown, who works eight hours per day Assume Poisson arrivals and exponential service times. a. What percentage of time is Simon idle? (Round your answer to 1 decimal place.) Percentage of time 33.31% b. How much time on average, does a student spend waiting in line?(Do not round Intermediate calculations. Round your answer to 1 decimal place.) Average time 320 minutes c. How long is the (walting) line on average? (Round your answer to 2 decimal places.) Average length of the waiting line 1.33 customers d. What is the probability that an arriving student (just before entering the Registrar Office) will find at least one other student waiting in line? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Probability