would like to know how to do this problem step by step, having trouble with getting the average service rate as well as time (sould they bee in mins or secs or hours) would like clarity

For this question, we return to Pat's, one of the Philadelphia cheesesteak restaurants mentioned in Homework \#8 about 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, 1 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... (i) ...20 seconds? (ii) .45 seconds? (iii) 90 seconds? (b) What is the probability that the number of arrivals in a one-minute period is... (i) 0 customers? (ii) ... I 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 they are 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 and being served)? (g) What is the probability that there are exactly 3 customers in the service system