16. Consider the packet-switched network of Problem 6. Assume that it is very congested so that the probability of colli
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16. Consider the packet-switched network of Problem 6. Assume that it is very congested so that the probability of collisions is 0.8. If we assume that X is the number retransmissions (taking values 0, 1, 2, 3, ...), the delay involved in retransmission (due to the random time the network waits before transmission) is equal to Y, which follows the following pattern: Y = 0, when X = 0 Y = T24, when 1 5 X 5 10 Y = 5127, when 10 < X Here T is the time it takes to transmit a single packet. a. Find the average delay involved in retransmission. b. Find the probability mass function of the delay Y. Textbook solution says a) E{Y}=73T, b) P{Y=0}=0.2; P{Y=512T)=(0.8) 10 Problem 6 for context: In a congested packet-switched network, a packet has a probability of 0.8 of being a collision and having to be retransmitted. Collisions at each transmission are independent events.