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Consider the given transition probability diagram of a binary symmetric channel as shown in figure. The input binary symbols 0 and 1 occur with probabilities 1/4 and 3/4 respectively
Then probabilities of binary symbols 0 and 1 appearing at the channel output are.
  • a)
    1/4 + P/2 and 1/4 - P/2 respectively
  • b)
    1/4 + P/2 and 3/4 - P/2 respectively
  • c)
    1/4 + P/2 and 1/4 + P/2 respectively
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Consider the given transition probability diagram of a binary symmetri...
P(x0)=1/4
p(x1) = 3/4
p(y0) = (1 − p)(1/4) + p(3/4)
=1/4 + p/2
p(yi) = p(1/4) + (1 − p)(3/4)
= 3/4 − p/2
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Consider the given transition probability diagram of a binary symmetric channel as shown in figure. The input binary symbols 0 and 1 occur with probabilities 1/4 and 3/4 respectivelyThen probabilities of binary symbols 0 and 1 appearing at the channel output are.a)1/4 + P/2 and 1/4 - P/2 respectivelyb)1/4 + P/2 and 3/4 - P/2 respectivelyc)1/4 + P/2 and 1/4 + P/2 respectivelyd)None of theseCorrect answer is option 'B'. Can you explain this answer?
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