Suppose four active nodes—nodes A, B, C and D—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 in transmitting in a slot? b. What is the probability that node A succeeds for the first time in slot 5? c. What is the probability that some node (either A, B, C or D) succeeds in slot 4? d. What is the probability that the first success occurs in slot 3? e. What is the efficiency of this four-node system?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

Please provide and epxlanation to all answers

Question 3:
Suppose four active nodes-nodes A, B, C and D 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 in transmitting in a slot?
b. What is the probability that node A succeeds for the first time in slot 5?
c. What is the probability that some node (either A, B, C or D) succeeds in slot 4?
d. What is the probability that the first success occurs in slot 3?
e. What is the efficiency of this four-node system?
Transcribed Image Text:Question 3: Suppose four active nodes-nodes A, B, C and D 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 in transmitting in a slot? b. What is the probability that node A succeeds for the first time in slot 5? c. What is the probability that some node (either A, B, C or D) succeeds in slot 4? d. What is the probability that the first success occurs in slot 3? e. What is the efficiency of this four-node system?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Please provide a detailed explanation of the solution

And the steps

Question 3:
Suppose four active nodes-nodes A, B, C and D 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 in transmitting in a slot?
b. What is the probability that node A succeeds for the first time in slot 5?
c. What is the probability that some node (either A, B, C or D) succeeds in slot 4?
d. What is the probability that the first success occurs in slot 3?
e. What is the efficiency of this four-node system?
Transcribed Image Text:Question 3: Suppose four active nodes-nodes A, B, C and D 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 in transmitting in a slot? b. What is the probability that node A succeeds for the first time in slot 5? c. What is the probability that some node (either A, B, C or D) succeeds in slot 4? d. What is the probability that the first success occurs in slot 3? e. What is the efficiency of this four-node system?
Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Network Transmission Cabling
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education