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QUESTION 1 [20 MARKSI (a) TCP protocol works in a way that when a sender sends a message, the protocol attempts to transmit the message

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QUESTION 1 [20 MARKSI (a) TCP protocol works in a way that when a sender sends a message, the protocol attempts to transmit the message by setting up a connection. The sender will then wait for an acknowledgement from the receiver. If none arrives within 0.2 s, it will try for 3 times. After 3 tries, the protocol will stop trying and will generate a delivery failure message. Probability of getting an acknowledgement is p. (1) Draw the tree diagram to represent the above scenario. [3 Marks] (11) Given the probability that a message is delivered to receiver successfully to be 0.7, what is the PMF of B, the number of messages transmitted in an attempt? Assume all transmissions are independent. (5 Marks] (111) What is the probability that the TCP will generate a delivery failure message? [2 Marks] QUESTION 1 [20 MARKSI (a) TCP protocol works in a way that when a sender sends a message, the protocol attempts to transmit the message by setting up a connection. The sender will then wait for an acknowledgement from the receiver. If none arrives within 0.2 s, it will try for 3 times. After 3 tries, the protocol will stop trying and will generate a delivery failure message. Probability of getting an acknowledgement is p. (1) Draw the tree diagram to represent the above scenario. [3 Marks] (11) Given the probability that a message is delivered to receiver successfully to be 0.7, what is the PMF of B, the number of messages transmitted in an attempt? Assume all transmissions are independent. (5 Marks] (111) What is the probability that the TCP will generate a delivery failure message? [2 Marks]

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