Course Solutions Uncategorized (Solved) : Data Packets Arrive Poisson Distribution Pool 2 Modems Arrival Rate 20 Packets Per Second Q29709094 . . . .

(Solved) : Data Packets Arrive Poisson Distribution Pool 2 Modems Arrival Rate 20 Packets Per Second Q29709094 . . . .

 

Data packets arrive (with Poisson distribution) to a pool of 2modems with the arrival rate of 20 packets per second (lambda=20packets/second), and the packet lengths are exponentiallydistributed with mean length 1000 bits per packet. Each modem has aservice rate 10 kbits/s (kilobits per second). First, assume thatthere are no buffers (or queues) in the system, and hence, packetsthat find all modems reserved get blocked. a) Draw the statediagram of the system with the corresponding transition rates. b)Obtain the steady state probabilities by using the state diagram.c) What is the probability that a connection attempt fails due toblocking? d) What is

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