Information is transmitted digitally as a binary sequence know as "bits". However, noise on the channel corrupts the signal, in that a digit transmitted as 0 is received as 1 with probability p, with a similar random corruption when the digit 1 is transmitted. If the transmitter sends out ‘1’ with probability 3/5, what is the probability that the signal H = 101 that you received is actually the correct signal sent? Don’t worry about p and express the answer in terms of p. If you prefer, you can take p = 1/4.