2. Consider a probability model with four states. Here is a description of the transition probabilities. (8) There is a 0.4 probability of transition from state 1 to state 2. There is a 0.2 probability of transition from state 1 to state 3. There is a 0.4 probability of transition from state 1 to state 4. There is a 1 probability of transition from state 2 to state 3. There is a 0.2 probability of transition from state 3 to state 2. There is a 0.8 probability of transition from state 3 to state 4. There is a 0.4 probability of transition from state 4 to state 1. There is a 0.6 probability of transition from state 4 to state 2. Given P= ] find S, for the given initial-state matrix S, and interpret with a tree diagram. Start A B 0.2 A 0.1 0.7 0.8 B 0.9 0.3 and the initial-state matrix So=[ Find S. $ = (Type an integer or a decimal for each matrix element.) Fill in the values for the tree diagram shown below. State 0 State 1 A 8 A 0.2 B 0.8 B A B The probability of transition from A to A is The probability of transition from A to B, is The probability of transition from Bo to A is The probability of transition from Bo to B, is (Type integers or decimals.) Enter your answer in each of the answer boxes.