(c) Probability that a 1 was transmitted, given that a I was received. (d) Probability that a 0 was transmitted, given that a 0 was received. (e) Probability of as error.

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 31E
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4 A binary communication channel carries data as one of the two types of signals
denoted by 0 and 1. Owing to noise a transmitted 0 is sometimes received as 1 and
a transmitted 1 is sometimes received as a 0. For a given channel, assume a
probability of 0.94 that a transmitted 0 is correctly received as a 0 and a probability
of 0.91 that a transmitted 1 is received a a 1. Further assume a probability of 0.45
of transmitting a 0. If a signal is sent,
Determine:
Transcribed Image Text:4 A binary communication channel carries data as one of the two types of signals denoted by 0 and 1. Owing to noise a transmitted 0 is sometimes received as 1 and a transmitted 1 is sometimes received as a 0. For a given channel, assume a probability of 0.94 that a transmitted 0 is correctly received as a 0 and a probability of 0.91 that a transmitted 1 is received a a 1. Further assume a probability of 0.45 of transmitting a 0. If a signal is sent, Determine:
(c) Probability that a I was transmitted, given that a I was received.
(d) Probability that a 0 was transmitted, given that a 0 was received.
(e) Probability of as error.
Transcribed Image Text:(c) Probability that a I was transmitted, given that a I was received. (d) Probability that a 0 was transmitted, given that a 0 was received. (e) Probability of as error.
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