Suppose in a small town there are three places to eat, a Chinese restaurant, a Mexican restaurant, and a pizza place. Everyone in town eats dinner in one of these places or has dinner at home. Assume that 20% of those who eat in the Chinese restaurant go to Mexican next time, 20% eat home and 30% go to the pizza place. From those who eat in the Mexican restaurant, 10% go to the pizza place, 25% go to the Chinese restaurant, and 25% eats at home next time. From those who eat at the pizza place, 30% eat at home, 30% eat at the Chinese restaurant, and 10% eat at the Mexican restaurant next time. Those who eat at home, 20% go to the Chinese restaurant, 25% go to Mexican restaurant, and 30% to the pizza place. FIND THE STEADY STATE PROBABILITIES

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 33EQ
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Suppose in a small town there are three places to eat, a Chinese restaurant, a Mexican restaurant, and a pizza place. Everyone in town eats dinner in one of these places or has dinner at home. Assume that 20% of those who eat in the Chinese restaurant go to Mexican next time, 20% eat home and 30% go to the pizza place. From those who eat in the Mexican restaurant, 10% go to the pizza place, 25% go to the Chinese restaurant, and 25% eats at home next time. From those who eat at the pizza place, 30% eat at home, 30% eat at the Chinese restaurant, and 10% eat at the Mexican restaurant next time. Those who eat at home, 20% go to the Chinese restaurant, 25% go to Mexican restaurant, and 30% to the pizza place.

FIND THE STEADY STATE PROBABILITIES

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