+ N AutoSave OFF S Home Insert Draw Design Layout References Mailings Review View Cambria 14.5 A^ A 86-18-15 = = 2 AaBbCcDdEe Aa BbCcDc AaBbCcDdEt AaBb AaBb CcDdE Aav Po X X A.D.A. AaBbCcDdEe Normal Paste BIU ab x No Spacing Heading 1 V Heading 2 Title Subtitle 2 4 6 7 kuluu|u||---|-*|-{|- #1 For this question, we return to Pat's, one of the Philadelphia cheesesteak restaurants mentioned in the homework assignment on market share analysis. Cheesesteak service at Pat's is limited to a single walk-up window: as a customer, you get into a single-file line and, upon reaching the service window, you order your sandwich, pay for it, receive it, and leave. Suppose, on average, that 48 customers arrive per hour, while the average service time per customer is 40 seconds. Assume that the single- channel (M/M/1) queueing model is appropriate for this scenario. (a) What is the probability that the service window completes a customer's order within... (1) ...20 seconds?(ii) ...45 seconds? (iii) ...90 seconds? (b) What is the probability that the number of arrivals in a one-minute period is... (1) ...0 customers? (ii) ...1 customer? (iii) ...2 customers? (iv) ...more than 2 customers? (c) What is the probability that an arriving customer will have to wait for service? (d) What is the average amount of time that a customer spends waiting in line (i.e., before theyare served)? (e) What is the average amount of time that a customer spends in the entire service system (i.e..waiting in line and being served)? (f) What is the average number of customers in the entire service system (i.e., waiting in line andbeing served)? (g) What is the probability that there are exactly 3 customers in the service system? Page 1 of 1 249 words. 14 English (United States) Tell me MS3053HW10 Focus AaBbCcDdEe Subtle Emph... FEE Share Styles Pane Comments Dictate + 119%