9. Determine if P = .2 .8 1] is a regular stochastic matrix.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5.
be go
ent with
probability .50.
be good tomorrow with probability 40 and indifferent with
probability .30. Finally, if the weather is bad today, it will
What is the stochastic matrix for this situation?
b. Suppose there is a 50% chance of good weather today
and a 50% chance of indifferent weather. What are the
chances of bad weather tomorrow?
Suppose the predicted weather for Monday is 40% in-
different weather and 60% bad weather. What are the
chances for good weather on Wednesday?
7.
a.
In Exercises 5-8, find the steady-state vector.
C.
.1
.9
.7
.2
.1
.6
.4
17
.1
.1
.8
.2
.1
.1 .7
.2
= [31]
.8 0
9. Determine if P =
10. Determine if P =
1.2
27
0 .8
6.
8.
.8 .5
.2 5
.7 .2
27
0
.2
.4
3
.6 .4
is a regular stochastic matrix.
is a regular stochastic matrix.
11. a. Find the steady-state vector for the Markov chain in
Exercise 1.
370698
ed
b.
At some time late in the day, what fraction of the listeners
will be listening to the news?
12. Refer to Exercise 2. Which food will the animal prefer after
many trials?
13. a. Find the steady-state vector for the Markov chain in
Exercise 3.
probability that after many days a specific
ill today?
do
A
17. L
S
f
18.
F
E
a
19.
Transcribed Image Text:5. be go ent with probability .50. be good tomorrow with probability 40 and indifferent with probability .30. Finally, if the weather is bad today, it will What is the stochastic matrix for this situation? b. Suppose there is a 50% chance of good weather today and a 50% chance of indifferent weather. What are the chances of bad weather tomorrow? Suppose the predicted weather for Monday is 40% in- different weather and 60% bad weather. What are the chances for good weather on Wednesday? 7. a. In Exercises 5-8, find the steady-state vector. C. .1 .9 .7 .2 .1 .6 .4 17 .1 .1 .8 .2 .1 .1 .7 .2 = [31] .8 0 9. Determine if P = 10. Determine if P = 1.2 27 0 .8 6. 8. .8 .5 .2 5 .7 .2 27 0 .2 .4 3 .6 .4 is a regular stochastic matrix. is a regular stochastic matrix. 11. a. Find the steady-state vector for the Markov chain in Exercise 1. 370698 ed b. At some time late in the day, what fraction of the listeners will be listening to the news? 12. Refer to Exercise 2. Which food will the animal prefer after many trials? 13. a. Find the steady-state vector for the Markov chain in Exercise 3. probability that after many days a specific ill today? do A 17. L S f 18. F E a 19.
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