Section 9.1
(4)
S1 = S0P = [.3 .7]
|
[ |
.8
|
.2
|
] | = [(.3)(.8) + (.7)(.4) (.3)(.2) + (.7)(.6)] = [.52 .48] |
.4
|
.6
|
(24)
A
|
B
|
C
|
|||
A |
[
|
0
|
1
|
0
|
] |
B |
.5
|
0
|
.5
|
||
C |
1
|
0
|
0
|
(60)
(A) The following is the transition matrix P
H
|
R
|
|||
H
|
[
|
.95
|
.05
|
] |
R
|
.03
|
.97
|
S1 = S0 P = [.733 .267]
|
[ |
.95
|
.05
|
] | = [.70436 .29564] |
.03
|
.97
|
(C) After two decades (2000) the new state distribution matrix is
S2 = S1P = [.70436 .29564]
|
[ |
.95
|
.05
|
] | = [.6780112 .3219888] |
.03
|
.97
|