This student never eats the same kind of food for 2 consecutive weeks. If she eats a Chinese restaurant one week, then she is equally likely to have Greek as Italian food the next week. If she eats a Greek restaurant one week, then she is three times as likely to have Chinese as Italian food the next week. If she eats a ltalian restaurant one week, then she is four 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.

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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This student never eats the same kind of food
for 2 consecutive weeks. If she eats a Chinese
restaurant one week, then she is equally likely
to have Greek as Italian food the next week. If
she eats a Greek restaurant one week, then she
is three times as likely to have Chinese as
Italian food the next week. If she eats a Italian
restaurant one week, then she is four 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 equally likely to have Greek as Italian food the next week. If she eats a Greek restaurant one week, then she is three times as likely to have Chinese as Italian food the next week. If she eats a Italian restaurant one week, then she is four 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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