Electronics Engineering · Analog and Digital Communication Systems

Consider a digital communication system that uses a repetition code for channel encoding. Each transmission bit is repeated 5 times. The decoder operates with a majority rule (deciding 1 if three or more bits are '1'). An error occurs when 3 or more received bits are incorrect. Assuming a binary symmetric channel with a crossover probability of 0.5 and equi-probable source bits, what is the average probability of error?