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: PEARSON
Bartleby Related Questions Icon

Related questions

Question

question help needed

Consider the following, tw-purty communication problem. Alice and Bob are spatially separated, and their
only means of coommunication is through a noisy communication channel. Alice wants to send a randoen bit b
to Bob using their sharesi channel. At the end of the protocol, Bob has a bit b'. Our goal is that the probability
that ' =b is as high an posible.
We consider three different protocols for achieving this task, protocols PA, Pn, and Pe. The three protocols
are the same, except for steps 2 and 6.
1. Alice picks a bit b at random. She picks b = 0 with probability p = 0.2, and she picks b = 1 with
complementary probability p= 0.8.
2A. Alice scts e.
2B. Alice sets e=b.
20. Alice sets e=1-6.
3. Alice sends the bit e through the channel.
4. The channel is noisy, and it flips the bit with probability 0.1 if e= 0, and it flips the bit with probability
0.3 if e= 1. Let e denote the output of the channel.
5. Bob recciveN the bit e.
6A. Bob sets -d.
6B. Bob ignores the bit e and he sets = 1, regurdless of whether d = 0 or e=1.
6C. Bob sets =1-e.
7. Bob declares that "I am guessing that Alice sent the bit 8."
1. For cach of threxe protocols, compate the probability Pr = 6).
Compute the probability as an irreducible fraction (that is, answer e.g. instead of ).
Show your caleulations and succinetly explain your work.
2. At the top of your answer, include a table with the three probabilitics. Give your probabilities with
three significant digits, as in the example below.
PA
Pe
0.123
0.987
expand button
Transcribed Image Text:Consider the following, tw-purty communication problem. Alice and Bob are spatially separated, and their only means of coommunication is through a noisy communication channel. Alice wants to send a randoen bit b to Bob using their sharesi channel. At the end of the protocol, Bob has a bit b'. Our goal is that the probability that ' =b is as high an posible. We consider three different protocols for achieving this task, protocols PA, Pn, and Pe. The three protocols are the same, except for steps 2 and 6. 1. Alice picks a bit b at random. She picks b = 0 with probability p = 0.2, and she picks b = 1 with complementary probability p= 0.8. 2A. Alice scts e. 2B. Alice sets e=b. 20. Alice sets e=1-6. 3. Alice sends the bit e through the channel. 4. The channel is noisy, and it flips the bit with probability 0.1 if e= 0, and it flips the bit with probability 0.3 if e= 1. Let e denote the output of the channel. 5. Bob recciveN the bit e. 6A. Bob sets -d. 6B. Bob ignores the bit e and he sets = 1, regurdless of whether d = 0 or e=1. 6C. Bob sets =1-e. 7. Bob declares that "I am guessing that Alice sent the bit 8." 1. For cach of threxe protocols, compate the probability Pr = 6). Compute the probability as an irreducible fraction (that is, answer e.g. instead of ). Show your caleulations and succinetly explain your work. 2. At the top of your answer, include a table with the three probabilitics. Give your probabilities with three significant digits, as in the example below. PA Pe 0.123 0.987
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
Computer Networking: A Top-Down Approach (7th Edi...
Computer Engineering
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:PEARSON
Text book image
Computer Organization and Design MIPS Edition, Fi...
Computer Engineering
ISBN:9780124077263
Author:David A. Patterson, John L. Hennessy
Publisher:Elsevier Science
Text book image
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:9781337569330
Author:Jill West, Tamara Dean, Jean Andrews
Publisher:Cengage Learning
Text book image
Concepts of Database Management
Computer Engineering
ISBN:9781337093422
Author:Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:Cengage Learning
Text book image
Prelude to Programming
Computer Engineering
ISBN:9780133750423
Author:VENIT, Stewart
Publisher:Pearson Education
Text book image
Sc Business Data Communications and Networking, T...
Computer Engineering
ISBN:9781119368830
Author:FITZGERALD
Publisher:WILEY