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The figure below shows a binary symmetric channel where each symbol ("0" or "1") sent is inverted with probability "p", independently of all other symbols. In simple terms, when "0" is transmitted, probability of receiving "1" is "p" and probability of receiving "0"' is "1-p". When "1" is transmitted, probability of receiving "0" is "p" and probability of receiving "1" is "1-p".

The figure below shows a binary symmetric channel where each symbol ("0" or "1") sent is inverted with probability "p", independently of all other symbols. In simple terms, when "0" is transmitted, probability of receiving "1" is "p" and probability of receiving "0"' is "1-p". When "1" is transmitted, probability of receiving "0" is "p" and probability of receiving "1" is "1-p".

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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a.64/3125
b.175/1728
c.6/175
d.3/64
e.2/27
The figure below shows a binary symmetric channel where each symbol ("0" or "1") sent is inverted with probability "p", independently of all other symbols. In simple terms, when "0" is transmitted, probability of receiving "1" is "p" and probability of receiving "0"" is "1-p". When "1" is transmitted, probability of receiving "0" is "p" and probability of receiving "1" is "1-p". Transition probabilities 1-p Transmitted signals Received signals 1-p Lets suppose that p = 1/4, P("0" transmitted) = 2/3 and P("1" transmitted) = 1/3. What is the probability that actually a "101" was transmitted given that "110" is received?
Transcribed Image Text:The figure below shows a binary symmetric channel where each symbol ("0" or "1") sent is inverted with probability "p", independently of all other symbols. In simple terms, when "0" is transmitted, probability of receiving "1" is "p" and probability of receiving "0"" is "1-p". When "1" is transmitted, probability of receiving "0" is "p" and probability of receiving "1" is "1-p". Transition probabilities 1-p Transmitted signals Received signals 1-p Lets suppose that p = 1/4, P("0" transmitted) = 2/3 and P("1" transmitted) = 1/3. What is the probability that actually a "101" was transmitted given that "110" is received?
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