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Authors:
James F. Kurose, Keith W. Ross
Chapter:
Computer Networks And The Internet
Exercise:
Problems
Question:22 | ISBN:9780132856201 | Edition: 6

Question

Consider Figure 1.19(b). Suppose that each link between the server and the client has a packet loss probability p, and the packet loss probabilities for these links are independent. What is the probability that a packet (sent by the server) is successfully received by the receiver? If a packet is lost in the path from the server to the client, then the server will re-transmit the packet. On average, how many times will the server re-transmit the packet in order for the client to successfully receive the packet?

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Answer

Consider the given data:

Loss probability of packet between the server and the client =p

Probability that the packet is successfully received through the receiver p1.

The probability that the packet transmitted by the server is received by the client successfully is 1/p1

The probability of successful transmissions -1 if the packet re-transmitted by the server is received.

So, the probability that the packet re-transmitted by the server is received by the client is 1/p1-1.

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