The matrices S 1 , S 2 , S 3 , and round the entries to two decimal places for the matrix S 0 = .14 .86 and the given transition matrix P . Five years later I I Current year I I ′ .95 .05 .40 .60 = P Where, I represents the population of Internet users.
The matrices S 1 , S 2 , S 3 , and round the entries to two decimal places for the matrix S 0 = .14 .86 and the given transition matrix P . Five years later I I Current year I I ′ .95 .05 .40 .60 = P Where, I represents the population of Internet users.
Solution Summary: The author calculates the matrices S_1, S2 and S__3 for the transition matrix P and the initial-state matrix.
To calculate:The matrices S1,S2,S3, and round the entries to two decimal places for the matrix S0=.14.86 and the given transition matrix P.
Five years laterIICurrentyearII′.95.05.40.60=P
Where, I represents the population of Internet users.
(B)
To determine
The new table which compares the result from part (A) with the data given in Table 1, which represents the percentage of U.S. population of Internet users.
Table 1YearPercent199514200049200568201079
( C )
To determine
The percentage of the adult U.S. population of Internet users in the long-run for the given transition matrix.
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
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