Q4. Assume that only at the end of a year a person can change her cola preferences based on the following probability transition matrix - Pepsi, Coke, cola Turka, no cola.- (If a person becomes no cola drinker or cola Turka drinker, she would never change her preferences) ; Pepsi Coke 0,7 0,1 0,75 0,15 Turka No cola Pepsi Coke 0,15 0,5 0,5 0,5 Turka 1 No cola 1 a. What is the average number of years that a Pepsi drinker spends until she becomes either cola Turka drinker or no cola drinker? b. What fraction of Coke drinkers becomes no cola drinker eventually? What is the probability that a Pepsi drinker becomes Coke drinker before she becomes either cola Turka drinker or no cola drinker? с.
Q4. Assume that only at the end of a year a person can change her cola preferences based on the following probability transition matrix - Pepsi, Coke, cola Turka, no cola.- (If a person becomes no cola drinker or cola Turka drinker, she would never change her preferences) ; Pepsi Coke 0,7 0,1 0,75 0,15 Turka No cola Pepsi Coke 0,15 0,5 0,5 0,5 Turka 1 No cola 1 a. What is the average number of years that a Pepsi drinker spends until she becomes either cola Turka drinker or no cola drinker? b. What fraction of Coke drinkers becomes no cola drinker eventually? What is the probability that a Pepsi drinker becomes Coke drinker before she becomes either cola Turka drinker or no cola drinker? с.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 9EQ
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Transcribed Image Text:Q4. Assume that only at the end of a year a person can change her cola preferences based on the
following probability transition matrix - Pepsi, Coke, cola Turka, no cola.- (If a person becomes no cola
drinker or cola Turka drinker, she would never change her preferences) ;
Pepsi Coke
0,7
0,1
0,75
0,15
Turka No cola
Pepsi
Coke
0,15
0,5
0,5
0,5
Turka
1
No cola
1
a. What is the average number of years that a Pepsi drinker spends until she becomes either cola
Turka drinker or no cola drinker?
b. What fraction of Coke drinkers becomes no cola drinker eventually?
c. What is the probability that a Pepsi drinker becomes Coke drinker before she becomes either cola
Turka drinker or no cola drinker?
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