Customers arrive at the above bagel shop with an average time between arrivals of 6 minutes. However, there is quite a lot of variability in the customers' arrivals, as one would expect in an unscheduled system. The single bakery server requires an amount of time having the exponential distribution with a mean of 5 minutes to serve customers (in the order in which they arrive). No customers leave without service. (a) Calculate the average utilization of the bakery server. (b) Calculate how long customers spend on average to complete their transactions at the shop (time in queue plus service time). What percentage of that time is spent queueing? (c) How many customers are in the shop on average? (d) Calculate the probability a customer will spend more than an hour at the shop (time in queue plus service time)