Question: Answer both parts QUESTION 4 [10 MARKS] A network will receive either 4 to 5 packets per second with an equal likelihood of 0.3 or

Answer both parts

QUESTION 4 [10 MARKS] A network will receive either 4 to 5 packets per second with an equal likelihood of 0.3 or 7 to 10 packets per second with an equal probability of 0.1. The network never receives more than one packets per second. There are two routers in the network. One service provider always sends 4 to 5 packets to one of the routers. The second always receives a higher number of packets per second. (a) Random variable X denotes the arrival of packets in one second. Determine the PMF of X for second routers that consistently receive a higher number of packets per second. [4 marks] (b) Calculate the expected number of packets that arrive in one second for both routers. [6 marks]

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