[40 pts] 2. Packets of 32 encoded bits are transmitted over a noisy binary symmetrical channel (BSC) that introduces a bit error probability of 10-2. If the errors generated in the channel are statistically independent and if k is the number of errors in the received packet, a. determine the probability of receiving an error-free packet. b. assume that the decoder can correct one error in the packet, determine the Packet Error Rate (PER). c. compute the mean and the standard deviation of number of errors in the received packet. d. determine the DeMoivre-Laplace approximation for the PER in part (b)