Binary digits (0, 1) are transmitted through a communication system. The messages sent are such that the proportion of O

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Binary Digits 0 1 Are Transmitted Through A Communication System The Messages Sent Are Such That The Proportion Of O 1 (24.76 KiB) Viewed 21 times

Binary digits (0, 1) are transmitted through a communication system. The messages sent are such that the proportion of Os is 0.8 and the proportion of 1s is 0.2. The system is noisy, which has as a consequence that a transmitted 0 will be received as a 0 with probability 0.9 (and as a 1 with probability 0.1), while a transmitted 1 will be received as a 1 with probability 0.7 (and as a 0 with probability 0.3). Determine: (1) the conditional probability that a "1" was transmitted if a “1" is received (ii) the conditional probability that a "0" was transmitted If a "0" is received