Suppose a two state experiment has the following transition matrix: 0.8 0.2 P = 0.6 0.4 Answer the following questions: 1. Find P(2). 2. If the experiment is in state 1 on the first observation, what...

Please explain each step to solve these problems please

Extracted text: Suppose a two state experiment has the following transition matrix: 0.8 0.2 P = 0.6 0.4 Answer the following questions: 1. Find P(2). 2. If the experiment is in state 1 on the first observation, what is the probability that it will be in state 2 on the third observation? 3. If the experiment is in state 1 on the first observation, what is the probability it is in state 2 on the next two observations? 4. Find P(4). 5. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the fifth observation? 6. If the experiment is in state 2 on the first observation, what is the probability it is in state 2 on the third and fifth observation?