Suppose three active nodes, nodes A, B, and C, are competing for access to a channel using slotted ALOHA. Assume each node has an infinite number of packets to send. Each node attempts to transmit in each slot with probability p. The first slot is numbered slot 1, the second slot is numbered slot 2, and so on. a. What is the probability that node A succeeds for the first time in slot 4? b. What is the probability that some node (either A, B, or C) succeeds in slot 2? c. What is the probability that the first success occurs in slot 4?
Suppose three active nodes, nodes A, B, and C, are competing for access to a channel using slotted ALOHA. Assume each node has an infinite number of packets to send. Each node attempts to transmit in each slot with probability p. The first slot is numbered slot 1, the second slot is numbered slot 2, and so on. a. What is the probability that node A succeeds for the first time in slot 4? b. What is the probability that some node (either A, B, or C) succeeds in slot 2? c. What is the probability that the first success occurs in slot 4?
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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Suppose three active nodes, nodes A, B, and C, are competing for access to a channel using slotted
ALOHA. Assume each node has an infinite number of packets to send. Each node attempts to
transmit in each slot with probability p. The first slot is numbered slot 1, the second slot is
numbered slot 2, and so on.
a. What is the probability that node A succeeds for the first time in slot 4?
b. What is the probability that some node (either A, B, or C) succeeds in slot 2?
c. What is the probability that the first success occurs in slot 4?
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