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Consider the DTMC with P matrix given below (Suggestion: draw out the state transition diagram)
P | A | B | C | D | E | F |
A | 0 | 0 | 1 | 0 | 0 | 0 |
B | 0 | 0.5 | 0.2 | 0.3 | 0 | 0 |
C | 0.5 | 0 | 0 | 0 | 0.5 | 0 |
D | 0 | 0 | 0 | 1 | 0 | 0 |
E | 0 | 0 | 1 | 0 | 0 | 0 |
F | 0 | 0 | 0 | 0 | 0.1 | 0.9 |
a. Which states, if any, are transient?
b. Which states, if any, are periodic?
c. Which states, if any, are absorbing?
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