[35 pts] A binary communications system sends packets of 64 bits over a noisy communication channel that introduces a bit error probability of 10-2. Assume the errors generated in the channel are statistically independent and let k be the number of errors in the received packet, a. compute the mean and the standard deviation of number of errors. b. determine the probability of receiving an error-free packet. c. assume that the decoder can correct one error in the packet, determine the Packet Error Rate (PER). d. give the expression for PER using the DeMoivre-Laplace approximation