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".

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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