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Question 3 (P2P Tit-for-Tat). As shown in the figure below, A and B are communicating with their top-4 partners in a BitTorrent system. A's uploading and downloading data rates of the ith partner are u, and d, respectively; B's uploading and downloading data rates of the ith partner are u and d respective. For i = 1, 2, 3, 4, ui, u, d,, d' are randomly distributed. They are independent random variables, following uniform distribution in [0, 1] Mbps. Now A optimistically unchoked B, with a sending data rate of rab- Tab is a random variable, independent of us, u, d₁, d. It follows uniform distribution in [0, 1] Mbps. If A becomes a top-4 sender of B. B will start to serve A with a sending data rate of The-Tab- What is the probability that both A and B find each other a top-4 sender? Show your mathematical derivations. U₂ 010, 1/07

Question 3 (P2P Tit-for-Tat). As shown in the figure below, A and B are communicating with their top-4 partners in a BitTorrent system. A's uploading and downloading data rates of the ith partner are u, and d, respectively; B's uploading and downloading data rates of the ith partner are u and d respective. For i = 1, 2, 3, 4, ui, u, d,, d' are randomly distributed. They are independent random variables, following uniform distribution in [0, 1] Mbps. Now A optimistically unchoked B, with a sending data rate of rab- Tab is a random variable, independent of us, u, d₁, d. It follows uniform distribution in [0, 1] Mbps. If A becomes a top-4 sender of B. B will start to serve A with a sending data rate of The-Tab- What is the probability that both A and B find each other a top-4 sender? Show your mathematical derivations. U₂ 010, 1/07

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question 3 (P2P Tit-for-Tat). As shown in the figure below, A and B are communicating with their top-4 partners in a BitTorrent system. A's uploading and downloading data rates of the ith partner are u, and d, respectively; B's uploading and downloading data rates of the ith partner are u and d respective. For i = 1, 2, 3, 4, ui, u, di, d' are randomly distributed. They are independent random variables, following uniform distribution in [0, 1] Mbps. Now A optimistically unchoked B, with a sending data rate of rab- rab is a random variable, independent of us, u, d₁, d. It follows uniform distribution in [0, 1] Mbps. If A becomes a top-4 sender of B. B will start to serve A with a sending data rate of Tha = Tab- What is the probability that both A and B find each other a top-4 sender? Show your mathematical derivations. Us da 070, 0/07
Transcribed Image Text:Question 3 (P2P Tit-for-Tat). As shown in the figure below, A and B are communicating with their top-4 partners in a BitTorrent system. A's uploading and downloading data rates of the ith partner are u, and d, respectively; B's uploading and downloading data rates of the ith partner are u and d respective. For i = 1, 2, 3, 4, ui, u, di, d' are randomly distributed. They are independent random variables, following uniform distribution in [0, 1] Mbps. Now A optimistically unchoked B, with a sending data rate of rab- rab is a random variable, independent of us, u, d₁, d. It follows uniform distribution in [0, 1] Mbps. If A becomes a top-4 sender of B. B will start to serve A with a sending data rate of Tha = Tab- What is the probability that both A and B find each other a top-4 sender? Show your mathematical derivations. Us da 070, 0/07
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