In a communication system, each code-word consists of 1000 bits. Due to the noise, each bit may be received in error with probability 0.1. It is assumed bit errors occur independently. Since error correcting codes are used in this system, each code-word can be decoded reliably if there are less than or equal to 125 errors in the received code-word, otherwise the decoding fails. Using the CLT, find the probability of decoding failure.