Customers in a small retail store arrive at the single cashier on average every 6 minutes. The average service time for the cashier is 5 minutes. Arrivals tend to follow a Poisson distribution, and service times follow an exponential distribution. We need to analyze this waiting-line system. (a) What is the average utilization of the cashier? (b) What is the average number of customers in the system? (c) What is the average number of customers in the line? (d) What is the average time spent in the system? (e) What is the average time spent in line? (f) The owner feels that if there are more than 5 customers at the cashier (waiting in the line and being served), we induce ill-will in our customers, and they will not return. What is the probability that there will be more than 5 customers in the system? (g) Should the retail store consider creating a second Customers in a small retail store arrive at the single cashier on average every 6 minutes. The average service time for the cashier is 5 minutes. Arrivals tend to follow a Poisson distribution, and service times follow an exponential distribution. We need to analyze this waiting-line system. (a) What is the average utilization of the cashier? (b) What is the average number of customers in the system? (c) What is the average number of customers in the line? (d) What is the average time spent in the system? (e) What is the average time spent in line? (f) The owner feels that if there are more than 5 customers at the cashier (waiting in the line and being served), we induce ill-will in our customers, and they will not return. What is the probability that there will be more than 5 customers in the system? (g) Should the retail store consider creating a second