A single-server queuing system (assuming computerized service) with an infinite calling population and a first-come, first-served queue discipline has the following arrival and service rates:

= 40 customers per hour

= 75 customers per hour

1. Determine the probability that there 5 customers in the system
2. Determine the average time of customers in the system.
3. Determine the average number of customers in the system.
4. Determine the probability that there 3 customers in the system
5. Determine the average time of customers in the waiting line.
6. Determine the probability that the server will be idle and a customer can be served.
7. Determine the probability that the server will be busy and the customer must wait.