The probabilities pn of n customers in the system for an (M/M/1):1GD/5/2 are given in the following table:

n 0 1 2 3 4 5 pn .399 .249 .156 .097 .061 .038 The arrival rate l is five customers per hour. The service rate m is eight customers per hour. Compute the following:

*

(a) Probability that an arriving customer will be able to enter the system.

*

(b) Rate at which arriving customers will not be able to enter the system.

(c) Expected number in the system.

(d) Average waiting time in the queue.