- The probabilities for a signal to be received or not received are & and a = 1 - a, respectively. As a result of noise, a signal entering the receiver can be recorded at its output with probability 3 and not recorded with probability 8 = 1-3. In the absence of the signal at the input, it can be recorded at the output (because of noise) with probability y and not recorded with probability y = 1 - y. What quantity of information about the presence of the signal at the input do we obtain by observing it at the output.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 3E: The conditional probability of E given that F occur is P(EF)= _____________. So in rolling a die the...
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The probabilities for a signal to be received or not received
are & and a = 1 -a, respectively. As a result of noise, a signal entering the
receiver can be recorded at its output with probability 3 and not recorded
with probability 8 = 1-3. In the absence of the signal at the input, it can be
recorded at the output (because of noise) with probability y and not recorded
with probability y = 1 - y. What quantity of information about the presence
of the signal at the input do we obtain by observing it at the output.
Transcribed Image Text:- The probabilities for a signal to be received or not received are & and a = 1 -a, respectively. As a result of noise, a signal entering the receiver can be recorded at its output with probability 3 and not recorded with probability 8 = 1-3. In the absence of the signal at the input, it can be recorded at the output (because of noise) with probability y and not recorded with probability y = 1 - y. What quantity of information about the presence of the signal at the input do we obtain by observing it at the output.
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