T is the transition matrix for a 4-state absorbing Markov Chain. State #1 and state #2 are absorbing states.

T =

	1	0	0	0
0	1	0	0
0	0.3	0.2	0.5
0.25	0	0.5	0.25

Use the standard methods for absorbing Markov Chains to find the matrices N = (I - Q)^-1 and B = NR. Answer the following questions based on these matrices. (Give your answers correct to 2 decimal places.)

(a) If you start in state #3, what is the expected number of steps needed to reach an absorbing state. (Your answer will come from the matrix N.) steps (b) If you start in state #4, what is the expected number of steps needed to reach an absorbing state. (Your answer here will come from the matrix N.) steps (c) If you start in state #3, what is the probability that you will eventually land in state #1? (Your answer will come from the matrix B.) (d) If you start in state #4, what is the probability that you will eventually land in state #1? (Your answer will come from the matrix B.)