Problem 11.2 A binary symmetric channel has a chancep = 0.002 of incorrectly transmitting a single bit. Let w = 10100011 be a word which is transmitted over the channel. Let T(w) denote the received word.

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Problem 11.2 A binary symmetric channel has a chancep 0.002
of incorrectly transmitting a single bit. Let u = 10100011 be a word
which is transmitted over the channel. Let T(w) denote the received
word.
(a) What is the probability that T(w) = 10100011 ?
(b) What is the probability that T(w) = 10101011 ?
(c) What is the probability that T(w) = w+e for some error string
%3D
%3D
rith wtle)
Transcribed Image Text:Problem 11.2 A binary symmetric channel has a chancep 0.002 of incorrectly transmitting a single bit. Let u = 10100011 be a word which is transmitted over the channel. Let T(w) denote the received word. (a) What is the probability that T(w) = 10100011 ? (b) What is the probability that T(w) = 10101011 ? (c) What is the probability that T(w) = w+e for some error string %3D %3D rith wtle)
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