5. Wingate Barber Shop is a one-man shop that specialized in men's haircuts. Customers arrive at the shop according to a Poisson process at a mean rate of 3.24 per hour. The time it takes proprietor I barber, Darrell Hinson, to complete a haircut follows the discrete probability distribution given in the table below. NOTE: Just in case you have forgotten how to calculate them from BUS 308 , the mean and variance for this distribution are =12.5 and 2=1.61 minutes, respectively. (a) Using Kendall notation, specify the appropriate queuing model for this problem. 1pt. (b) Specify the average arrival rate (in customers / minute) and the average service rate in (customers / minute) for this model. 2 pts. (c) Calculate (accurate to 3 decimal places) the probability that Darrell is idle. 4pts. (d) Find the average number of customers that are seated at the Wingate Barber Shop waiting for Darrell to begin giving them a haircut. 4 pts. (e) Find the average time that a customer spends at the Wingate Barber Shop, from the time he enters the shop until the time Darrell finishes giving him a haircut. 4 pts