In an effort to better understand its customers’ needs, Magic Suds Car Wash has collected data regarding customer arrivals and service capacity. In a typical day, customers arrivals range between 4 and 7 per hour. Magic Suds is capable of serving 5 to 8 customers per hour. Customers are served on a first-come, first-served basis. Probability distributions for customer arrivals and service capacity are shown in the tables below. Using Excel, the car wash process was simulated for a period of 10 hours; the results are reported below. The random numbers for the simulation (labeled as RN1 and RN2) were generated using the function, =RAND(). If you can’t see table/image, then contact tech support! a). Why would the service rate vary? Identify at least two (2) reasons why the rate at which customers are served would fluctuate. b). For hour 7 above (row 19), very briefly indicate how the numbers in each column were computed or derived. You may write a formula or a few words for each item. Waiting (column B): Customer Arrivals (column D): Possibly Served (column G): Actually Served (column H): c). What is the average number of customers waiting to be served? (Be sure to show work/explain reasoning.) d). What is the average number of customers actually served? (Be sure to show work/explain reasoning.) e). Jorge Martinez, the manager of Magic Suds, is skeptical of the numbers computed above in parts c and d. List two (2) reasons why Martinez’s skepticism is justified.