Mathematics, 26.10.2020 17:00 prince96
Alice is trying to transmit to Bob the answer to a yes-no question, using a noisy channel. She encodes "yes" as 1 and "no" as 0, and sends the appropriate value. However, the channel adds noise; specifically, Bob receives what Alice sends plus a N(0,σ2) noise term (the noise is independent of what Alice sends). If Bob receives a value greater than 1/2 he interprets it as "yes"; otherwise, he interprets it as "no". (a) Find the probability that Bob understands Alice correctly. (b) What happens to the result from (a) if σ is very small? What about if σ is very large? Explain intuitively why the results in these extreme cases make sense.
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Alice is trying to transmit to Bob the answer to a yes-no question, using a noisy channel. She encod...
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