2. (20 points) A communication system sends 0's, 1's, and 2's with equal probability. The statistical characteristics of the transmission system are given by Sentfkeceived D 0.9 D. 05 0. 05 1 0. 1 0.8 . 1 2 D. 05 D. 15 0.8 For example, the probability of receiving a 2 given that a l was sent is P(R = ZIS = 1) = 0.1. (a) What is the probability that a 0 is received? (b) Compute the conditional probability P(S = DIR = D) that a 0 was sent given that a 0 was received