A binary symmetric channel has a chance p = 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. (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

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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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A binary symmetric channel has a chance p = 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.
(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
with wt(e)
Transcribed Image Text:A binary symmetric channel has a chance p = 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. (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 with wt(e)
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