Binary digits (0, 1) are transmitted through a communication system. The messages sent are such that the proportion of O
Posted: Tue May 24, 2022 9:10 am
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