For each transition matrix P in Problems 23-30, solve the equation S P = S to find the stationary matrix S and line limiting matrix P ¯ . P = .8 .2 0 .5 .1 .4 0 .6 .4
For each transition matrix P in Problems 23-30, solve the equation S P = S to find the stationary matrix S and line limiting matrix P ¯ . P = .8 .2 0 .5 .1 .4 0 .6 .4
The Matrix B from 3 x 2 at by = 1-; is
%3D
1.
2.
3.
4. 1
10
Question 3
The owner decides he wants to employ only new trainee staff. He also wants only new trainee staff
who are siblings of his permanent staff. He believes that each month, 5% of his permanent staff
would have a sibling who would be suitable to start as a trainee staff member.
His staffing model would therefore be defined by the rule S, = 75, + FS,, and the matrix S,
giving the number of staff at the end of the first month in January 2013 would therefore be defined
as
S-75, + FS, where
0 0 0 0
0 0 0.05 0
0 0 0
o 0 0 0
o 0 0 0
10
0.8 0 0 0
T =
O 09 0.7 0
20
and F=
60
0.2 0.1 03 1
where the matrices T and 5, are the same matrices as used in Question 2.
How many new trainee staff would be added in January 2013 according to this model?
How many probationary staff members will there be at the end of the second month in
2013 according to this model? Express your answer to the nearest whole number.
Please help me answer this question attached below. Thank you.
Chapter 9 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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Introduction: MARKOV PROCESS And MARKOV CHAINS // Short Lecture // Linear Algebra; Author: AfterMath;https://www.youtube.com/watch?v=qK-PUTuUSpw;License: Standard Youtube License
Stochastic process and Markov Chain Model | Transition Probability Matrix (TPM); Author: Dr. Harish Garg;https://www.youtube.com/watch?v=sb4jo4P4ZLI;License: Standard YouTube License, CC-BY