Consider a memoryless message source that generates an output letter X that is uniformly distributed over the alphabet {0, 1, 2}. After transmission over a channel the symbol Y, that is received, will be equal to X with probability 1 - p, 0 ≤ p ≤ 1and it will be equal to any of the other two letters in the alphabet with probability Compute the mutual information I ( X , Y) between X and Y.