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0.4 u l n A digital signal 1 or 0 is transmitted through a noisy channel, the received data may be different from the signal

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0.4 u l n A digital signal \"1\" or \"0\" is transmitted through a noisy channel, the received data may be different from the signal sent out. Suppose the transmitter sends out \"0\" with probability 0.6, and \"l\" with probability 0.4. When \"0\" is transmitted, the receiver receives \"0\" with probability 0.7, and \"1\" with probability 0.3. When \"1\" is transmitted, the receiver receives \"0\" with probability 0.2, and \"l\" with probability 0.8. (1) Find the probability that data \"0\" is received. (2) Find the probability of error (i.e. the probability that \"l\" is received when \"0\" was transmitted or \"0\" is received when \"l\" was transmitted)

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