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.
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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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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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