Problem 1 Answer all the questions based on the following 1-step transition matrix. 01 02 03 04 05 888 288 2 01 0 0.5 0 0 02 0.3 0.3 0.4 0 200 03 0 0 0 0.5 0 04 0 0 0 0.5 0.5 05 0 0 0 0.2 0.2 0.3 06 0 0 0 0 0 07 0 08 0 09 10 0 0 0000 0 0 0 0 0 0 0 0 0 0 0 0 80000HOOO0 06 07 0.5 0 200 09 0 0 0 0 0.5 0 0 0 90000 0 0.3 0 0 0 0 0 0 0 1 0 0 0.5 0 0 0.5 0.5 0 0 00 0 1 O- 0.5 0 (1). Draw the corresponding state diagram. The relative positions of all the states are in the figure below. (01) (02) (03) 04 05 06 (09 10 08 (2). Find all the state classes, and draw the class level state diagram. In this class level chain, you don't have to specify the transition probability on each arc.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem 1
Answer all the questions based on the following 1-step transition matrix.
01
02
03
04
05
888 288 2
01
0
0.5 0
0
02
0.3 0.3 0.4
0
200
03
0
0
0
0.5 0
04
0
0
0
0.5 0.5
05
0
0
0
0.2 0.2 0.3
06
0
0
0
0
0
07
0
08
0
09
10
0
0
0000
0
0
0
0
0
0
0
0
0
0 0
0
80000HOOO0
06
07
0.5
0
200
09
0
0
0 0 0.5
0
0 0
90000
0
0.3
0
0
0
0
0
0
0
1
0
0
0.5
0
0
0.5
0.5
0 0
00
0 1
O-
0.5
0
(1). Draw the corresponding state diagram. The relative positions of all the states are in the figure below.
(01)
(02)
(03)
04
05
06
(09
10
08
(2). Find all the state classes, and draw the class level state diagram. In this class level chain, you don't have
to specify the transition probability on each arc.
Transcribed Image Text:Problem 1 Answer all the questions based on the following 1-step transition matrix. 01 02 03 04 05 888 288 2 01 0 0.5 0 0 02 0.3 0.3 0.4 0 200 03 0 0 0 0.5 0 04 0 0 0 0.5 0.5 05 0 0 0 0.2 0.2 0.3 06 0 0 0 0 0 07 0 08 0 09 10 0 0 0000 0 0 0 0 0 0 0 0 0 0 0 0 80000HOOO0 06 07 0.5 0 200 09 0 0 0 0 0.5 0 0 0 90000 0 0.3 0 0 0 0 0 0 0 1 0 0 0.5 0 0 0.5 0.5 0 0 00 0 1 O- 0.5 0 (1). Draw the corresponding state diagram. The relative positions of all the states are in the figure below. (01) (02) (03) 04 05 06 (09 10 08 (2). Find all the state classes, and draw the class level state diagram. In this class level chain, you don't have to specify the transition probability on each arc.
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