Transmission channel operates at 3mbps and has a bit error rate of 10^(-3). bit errors occur at random and independent of each other. suppose that the following code is used. to transmit a 1, the codeword 111 is sent; to transmit a 0, the codeword 000 is sent. the receiver takes the three received bits and decides which bit was sent by taking the majority vote of the three bits. find the probability that the receiver makes a decoding error.