Problem 4 (10 Points): The Sea View Resort uses a multiple-channel queue registration system. If the average service time is 8 minutes, there are three registration clerks, and guests arrive at the rate of one every 5 minutes, find the arrival rate (2) and the service rate (u), and express them in "per hour. (2 points) (Show all the details of your answers/computations. If you do not show the details, you will not get the points) a. b. the probability all three clerks are idle. (2 points) (Show all the details of your answers/computations. If you do not show the details, you will not get the points) C. the probability a guest will have to wait. (2 points) (Show all the details of your answers/computations. If you do not show the details, you will not get the points) d. the average time a customer is in line. (2 points) (Show all the details of your answers/computations. If you do not show the details, you will not get the points.) b. the probability all three clerks are idle. (2 points) (Show all the details of your answers/computations. If you do not show the details, you will not get the points.) c. the probability a guest will have to wait. (2 points) (Show all the details of your answers/computations. If you do not show the details, you will not get the points.) d. the average time a customer is in line. (2 points) (Show all the details of your answers/computations. If you do not show the details, you will not get the points.) e. the average number of customers in line. (2 points) (Show all the details of your answers/computations. If you do not show the details, you will not get the points.)