Answer to Question #45275 in Statistics and Probability for stephan

Question

A communication channel transmit the digit 0 and 1 however due to static noise the digit transmit is incorrectly received with the probability 0.2 suppose we want to transmit the important message of one binary digit . to reduce the chance of error we transmit 00000 instead of 0 and 11111 instead of 1.If the receiver of message uses majority decoding what is the probability that the message will be incorrectly decoded