تم الحل ✓
categoryإحصاء
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
10. A Markov process has the following state transition matrix:
0.4 0.5 0.1
0.3 0.4
0
A =
0 0 1
0 0.3
0
0 0 0
1
There are two absorbing states; what are they?
⚫ To find the probability of winding up in an absorbing state, define A to be the submatrix
of A without the absorbing states, and y to be the column of A corresponding to the
absorbing state. Then the probability of hitting the absorbing state is (I-A)-¹y. With
this refresher, compute the probability of ending up in each of the absorbing states
starting from the other states.
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