
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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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
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