Customers arrive to a service system according to a Poisson process with rate λ. The system can only serve one customer at a time and, while it is busy serving a customer, arriving customers are...

Customers arrive to a service system according to a Poisson process with rate λ. The system can only serve one customer at a time and, while it is busy serving a customer, arriving customers are blocked from getting service (they may seek service elsewhere or simply go un served). Assume the service times are independent with common distribution G and are independent of the arrival process. For instance, a contractor may only be able to handle one project at a time (or a vehicle can only transport one item at a time). Determine the following quantities: