Consider the following transition probability matrix:
![1943_transition probability matrix.png](https://secure.tutorsglobe.com/CMSImages/1943_transition probability matrix.png)
a. Give the state-transition diagram.
b. Given that the process is currently in state 1, what is the probability that it will be in state 2 at the end of the third transition?
c. Given that the process is currently in state 1, what is the probability that the first time it enters state 3 is the fourth transition?