Question: 4.1 Consider the following transition probability matrix: P 5 0:6 0:2 0:2 0:3 0:4 0:3 0:0 0:3 0:7 2 4 3 5 a. Give the

4.1 Consider the following transition probability matrix: P 5 0:6 0:2 0:2 0:3 0:4 0:3 0:0 0:3 0:7 2 4 3 5

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?

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