This student never eats the same kind of food for 2 consecutive weeks. If she eats a Chinese restaurant one week, then she is three times as likely to have Greek as Italian food the next week. If she eats a Greek restaurant one week, then she is equally likely to have Chinese as Italian food the next week. If she eats a Italian restaurant one week, then she is five times as likely to have Chinese as Greek food the next week. Assume that state 1 is Chinese and that state 2 is Greek, and state 3 is Italian. Find the transition matrix for this Markov process. P = #

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Please find the transition matrix for this Markov process

This student never eats the same kind of food for 2 consecutive weeks. If she eats a Chinese restaurant one week, then she is three times as likely to
have Greek as Italian food the next week. If she eats a Greek restaurant one week, then she is equally likely to have Chinese as Italian food the next
week. If she eats a Italian restaurant one week, then she is five times as likely to have Chinese as Greek food the next week.
Assume that state 1 is Chinese and that state 2 is Greek, and state 3 is Italian.
Find the transition matrix for this Markov process.
P =
Transcribed Image Text:This student never eats the same kind of food for 2 consecutive weeks. If she eats a Chinese restaurant one week, then she is three times as likely to have Greek as Italian food the next week. If she eats a Greek restaurant one week, then she is equally likely to have Chinese as Italian food the next week. If she eats a Italian restaurant one week, then she is five times as likely to have Chinese as Greek food the next week. Assume that state 1 is Chinese and that state 2 is Greek, and state 3 is Italian. Find the transition matrix for this Markov process. P =
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