Question 9 (10 points) MadMax Burgers has a single drive-up window. On Sunday afternoons, customers arrive at the drive-up window according to a Poisson process, at an average rate of 25 customers per hour. Service at the drive-up window is provided at an average rate of 35 custOmers per hour and follows an Exponential distribution. (For all your answers, you must show your workings} a. What is the probability that an arriving customer must wait for service at a given point in time? b. On average, what is the total length of time a customer spends in the system? c. On average, what is the total length of time a customer spends in the queue? d. On average, how many customers are in the system at a given point in time? e. Briefly describe the long-term behaviour of the queueing system