A communication system transmits symbols labeled A, B, and C. Because of errors (noise) introduced by the channel, there is a nonzero probability that for each transmitted symbol, the received symbol differs from the transmitted one. Table 1 describes the joint probability for each possible pair of transmitted and received symbols under a certain set of system conditions. a. Find marginal probabilities P(A,) and P(A,) Symbol Sent Symbol Received C b. Find P(C|B,) A 0.05 0.10 0.09 C. Calculate the probability of a transmission error В 0.13 0.08 0.21 C 0.12 0.07 0.15

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