Question 2 3) U.S. automobile manufacturers are concerned about the competition of foreign cars in the domestic market. Chrysler, the producer of famous Chevrolet brand, views its survival upon recapturing market share it lost to Japanese cars over last 10 years. To determine its present market share a survey of 1,000 car owners were conducted: 500 respondents owned a GM car, 200 respondents owned a Chrysler car, and the remaining 300 respondents owned Japanese brands such as Toyota, Honda, Nissan, etc. The results of the survey is summarized below:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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cars in the domestic market. Chrysler, the producer of famous Chevrolet brand, views its survival upon
recapturing market share it lost to Japanese cars over last 10 years.
3) U.S. automobile manufacturers are concerned about the competition of foreign
Question 2
To determine its present market share a survey of 1,000 car owners were conducted: 500 respondents
owned a GM car, 200 respondents owned a Chrysler car, and the remaining 300 respondents owned
Japanese brands such as Toyota, Honda, Nissan, etc. The results of the survey is summarized below:
328 of present GM car owners said they would probably buy another GM car for their next purchase, 100
of them said that they would buy a Chrysler brand, and the remaining said they would buy a Japanese
car for their next purchase.
92 of present Chrysler car owners said they would probably buy another Chrysler car for their next
purchase, 80 of them said that they would buy a GM brand, and the remaining said they would buy a
Japanese car for their next purchase.
250 of present Japanese car owners said that they were very happy with Japanese brands, and 236 of
them said they would probably buy a Japanese brand for their next purchase. The remaining
respondents were equally likely to buy a GM or a Chrysler brand.
a)
s) Explain if we can model the above brand switching problem as a discrete-time stochastic
process.
b)
ts) Define Xn and write down the state space, S.
s) Is (Xn, n=0,1,2, ..} a Markov chain? Why or why not? Explain.
s) What would be the appropriate observation points (epochs) of the owners purchase
behavior? Explain.
ts) Prepare a table to summarize the esults of the survey
Transcribed Image Text:Time left U:09:5 cars in the domestic market. Chrysler, the producer of famous Chevrolet brand, views its survival upon recapturing market share it lost to Japanese cars over last 10 years. 3) U.S. automobile manufacturers are concerned about the competition of foreign Question 2 To determine its present market share a survey of 1,000 car owners were conducted: 500 respondents owned a GM car, 200 respondents owned a Chrysler car, and the remaining 300 respondents owned Japanese brands such as Toyota, Honda, Nissan, etc. The results of the survey is summarized below: 328 of present GM car owners said they would probably buy another GM car for their next purchase, 100 of them said that they would buy a Chrysler brand, and the remaining said they would buy a Japanese car for their next purchase. 92 of present Chrysler car owners said they would probably buy another Chrysler car for their next purchase, 80 of them said that they would buy a GM brand, and the remaining said they would buy a Japanese car for their next purchase. 250 of present Japanese car owners said that they were very happy with Japanese brands, and 236 of them said they would probably buy a Japanese brand for their next purchase. The remaining respondents were equally likely to buy a GM or a Chrysler brand. a) s) Explain if we can model the above brand switching problem as a discrete-time stochastic process. b) ts) Define Xn and write down the state space, S. s) Is (Xn, n=0,1,2, ..} a Markov chain? Why or why not? Explain. s) What would be the appropriate observation points (epochs) of the owners purchase behavior? Explain. ts) Prepare a table to summarize the esults of the survey
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