Question

I. A router is connected to a 100 Mb / s line. It has a memory space where you can store 33 packages. Presuming that arrivals are described by a Poisson process and service times by an Exponential distribution, then:

1. What would be the probability that there are 3 packages in memory, when the utilization is at 75.0%?

2. What would be the probability that there are 3 packages in memory, when the utilization is at 50.2%? 3. After a storm several memory blocks were damaged. The system operative canceled several memory banks. Now the routeman damaged only You can store 8 packages in your memory. What would be the probability? that a packet finds the memory full if the utilization is now of 98.6%?

Answer 1