Redo exercise 23 in section 8.1 of your textbook, about the student who eats in a Chinese, Greek, or Italian restaurant every Sunday night, using the following data: This student never eats the same...

Redo exercise 23 in section 8.1 of your textbook, about the student who eats in a Chinese, Greek, or Italian restaurant every Sunday night, using the following data:


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


Assume thatstate 1 is Chineseand thatstate 2 is Greek, andstate 3 is Italian.


Find the transition matrix for this Markov process.