An information source produces 0 and 1 with probabilities 0.3 and 0.7, respec- tively. The output...

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An information source produces 0 and 1 with probabilities 0.3 and 0.7, respec- tively. The output of the source is transmitted via a channel that has a proba- bility of error (turning a 1 into a 0 or a 0 into a 1) equal to 0.2. 1. What is the probability that a 1 will be observed at the output? 2. What is the probability that a 1 was the output of the source if a 1 is observed at the output of the channel? An information source produces 0 and 1 with probabilities 0.3 and 0.7, respec- tively. The output of the source is transmitted via a channel that has a proba- bility of error (turning a 1 into a 0 or a 0 into a 1) equal to 0.2. 1. What is the probability that a 1 will be observed at the output? 2. What is the probability that a 1 was the output of the source if a 1 is observed at the output of the channel?