MATH 4581
Solution: Quiz 3
March 20, 2014
Name:
0 .4 0 .6
.7 0 .3 0
0 0 1 0
.5 0 .5 0
1. Given the transition matrix (the states are: 1,2,3,4) P =
(a) Rewrite the matrix in canonical form and give Q.
Solution:
P =
1
2
4
3
1
2
4
0 0.4 0.6
0
0.7 0
0.5 0
MATH 4581
Sample Quiz 2
February 4, 2014 Name:
1. Given below are the duration of eruptions at the Old Faithful geyser and the time until the next eruption:
duration (sec)
interval (min)
240
92
120
65
178
72
234
94
235
83
269
94
255
101
220
87
(a) Find th
MATH 4581
Solution: Sample Quiz 2
February 6, 2014 Name:
1. Given below are the duration of eruptions at the Old Faithful geyser and the time until the next eruption:
duration (sec)
interval (min)
240
92
120
65
178
72
234
94
235
83
269
94
255
101
220
87
(
MATH 4581
Sample Quiz 3
March 9, 2014
Name:
.5 .1 .4 0
0 1 0 0
1. Given the transition matrix (the states are: 1,2,3,4) P =
.3 .1 .4 .2
0 0 0 1
(a) Rewrite the matrix in canonical form and give Q.
(b) Find the fundamental matrix N.
(c) Find the expected
MATH 4581
Solution: Sample Quiz 3
March 10, 2014
Name:
.5
0
1. Given the transition matrix (the states are: 1,2,3,4) P =
.3
0
.1
1
.1
0
.4
0
.4
0
(a) Rewrite the matrix in canonical form and give Q.
Solution:
1
3
2
4
1
0.5 0.4 0.1 0
P = 3
0.3 0.4 0.1 0.
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