A communication system transmits bits over a channel such that the probability of being received in error is = 0.02. Bits are transmitted in

A communication system transmits bits over a channel such that the probability of being received in error is ρ = 0.02. Bits are transmitted in blocks of length 1023 bits and an error correction scheme is used such that bit errors can be corrected provided that no more than 30 errors occur in a 1023 bit block. Use the central limit theorem to approximate the probability that no more than 30 errors occur in a 1023 bit block.