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An information source produces 0 and 1 with probabilities 0.3 and 0.7 respectively. The output of the source is transmitted via a channel that has probability of error (turning a 1 into 0 and 0 into 1) equal to 0.2.

a) what is the probability that a 1 is observed ?
b) What is the probability that a 1 was the output of the source if at the output of the channel a 1 is observed.

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