Please write the solutions on a sheet of paper

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 a. 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.) 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.) up