In a digital communication channel, the number of bits received in error can be modeled by a binomial random variable denoted by T. Assume that only n = 50 bits are to be transmitted and that the probability of an error is p = 0.1. a) Calculate the probability that at most one error occur using binomial distribution. b) Calculate the probability that at most one error occur based on the normal approximation. c) Compare your findings. d) Redo part a, b and c, when the number of bits to be transmitted is 100 (n=100). e) Calculate the approximations of P(T = 12) and P(12