Average number of customers in queuing system

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Michael’s coffee shop sells specialty beverages.The average length of a day of operation is 14 hours. The shop uses a single server queuing system with infinite calling population and a first-come, first-served queue discipline. On average, the single server takes 5.25 minutes to serve one customer.  On average, 10 customers arrive to purchase specialty drinks every hour.

Is there a chance for an infinite loop?

a. What is the probability that a customer who arrives does not have to wait to be served?

b. Determine the average number of customers in the queuing system.

c. What is the average number of customers in the waiting line or queue?

d. What is the average time a customer spends in the total queuing system?

e. Determine the average time a customer must wait in line (queue).

f. What is the probability that the server is busy?

g. What is the probability the server is idle?

Reference no: EM132226367

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