The owner of a grocery store in the university community is committed to provide good service to the students. Currently, the store has a separate check-out counter for students. On average, 29 students arrive at the check-out counter, according to a Poisson distribution. The clerk at the check-out counter can provide service at an average rate of 36 students per hour with exponential service times. (Enter your answers in the edit fields - only numeric values. Enter all responses with four decimal places). a) (5) What is the utilization rate of the system? (in percentage format, example- 33.3333)? b) (5) What is the average number of students waiting in the line to be checked-out? c) (5) What is the average number of students in the check-out system? d) (5) How long must the average wait time for students until he/she gets checked-out (in minutes)? minutes