16. In a noisy communication system transmitting binary digits (zeros and ones) the sender may send...

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16. In a noisy communication system transmitting binary digits (zeros and ones) the sender may send a digit (for example, 1) and the receiver may receive the other digit (for example, 0). Let A be the event "a 1 is sent" and let B be the event "a 1 is received." Hence T is the event "a O is sent" and B is the event "a 0 is received." Assume that Suppose further that PrA-5. Give a physical interpretation of the forego- ing conditional probabilities. Determine the probabilities Pr(AB), Pr(ג PAlB], and PB These conditional probabilities are the ones that the receiver might want to know to help in interpreting a message

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