Problem $2(10$ pts$)$

Each computer user is linked to a network, and each produces on average $48$ packets per second. For every customer$/$user$,$ the arrival times of her packets are exponentially distributed. The lengths of packets are also exponentially distributed, with a mean $125$ bytes. It takes $1/8000$ seconds to deliver $($or serve$)$ each byte.

Questions to Answer:

Mean wait in the queue:

Mean number in the queue:

The mean wait in the system:

Mean number in the system:

Proportion of time the server is idle: