A nonsymmetric binary communications channel is defined as follows: (i) The inputs and outputs are 0...
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A nonsymmetric binary communications channel is defined as follows: (i) The inputs and outputs are 0 or 1, and the probability that the input is 1 is p. (ii) An error occurs if the input is 0 and the output is 1. This occurs with probability . (iii) An error also occurs if the input is 1 and the output is 0. This occurs with probability 2. (a) Find the probability that the output is 0. (b) Find the probability that the input was 0 given that the output is 1. Find the probability that the input is 1 given that the output is 1. (c) Find an expression for the (unconditional) probability that an error occurs. A nonsymmetric binary communications channel is defined as follows: (i) The inputs and outputs are 0 or 1, and the probability that the input is 1 is p. (ii) An error occurs if the input is 0 and the output is 1. This occurs with probability . (iii) An error also occurs if the input is 1 and the output is 0. This occurs with probability 2. (a) Find the probability that the output is 0. (b) Find the probability that the input was 0 given that the output is 1. Find the probability that the input is 1 given that the output is 1. (c) Find an expression for the (unconditional) probability that an error occurs.
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a To find the probability that the output is 0 we need to consider two cases when the input is 0 and ... View the full answer
Related Book For
Artificial Intelligence A Modern Approach
ISBN: 978-0137903955
2nd Edition
Authors: Stuart J. Russell and Peter Norvig
Posted Date:
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