Queuing Questions

Customers arrive at a computer repair store at an average of 2 per hour.

The repair store has a single employee on duty at a time to check customers devices in and type up the service order. On average, it takes 15 minutes to check in a customers device, type up the repair order, and print the customers claim ticket.

1) If you were to go to the computer repair store, what is the probability that there would be nobody in the store when you arrived?

2) What is the probability that there would be 1 customer in the system that you would have to wait for?

3) How many customers are in the store, on average?

4) How many customers are waiting in line, on average?

Use the following information to answer the next question:

A fast food restaurant, during its lunch rush, has an average customer arrival rate of 50 per hour. It takes an average of 5 minutes to take a customers order and for the customer to pay.

5) What is the average time a customer spends in line at the restaurant during the lunch rush?