QUESTION 1 The same scenario is used for all questions. New parents in a little town buy two major brands of infant formulas, labeled A and B. After some intensive study, a marketing researcher for one of the manufacturers found that the probability of parents purchasing A or B is based on the parents' most recent purchase. Suppose that the following transition probabilities are appropriate O Probabilities of Parents Purchasing A or B From A TO A To B 0.25 O A Which of the following is the correct two period tree diagram for a customer who last purchased Brand A? O (0.25)(0.75)-0.1875 B A 0.75 A 0.20 0.25 0.75 0.75 0.25 0.25 0.75 A B A B A 0.80 B 0.75 0.25 0.20 0.80 0.75 0.25 0.20 0.80 0.25 0.75 0.20 0.80 A B A A B A B A B A H (0.25)(0.25)-0.0625 (0.75)X(0.20)-0.1500 (0.75)X(0.80)-0.6000 (0.75)(0.75)-0.5625 (0.75)(0.25)-0.1875 (0.25)(0.20)-0.0500 (0.25)(0.80)-0.2000 (0.25)(0.25)-0.0625 (0.25) (0.75)-0.1875 (0.75) (0.20)-0.1500 (0.750.80)-0.6000

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QUESTION 1
The same scenario is used for all questions.
New parents in a little town buy two major brands of infant formulas, labeled A and B. After some intensive study, a marketing researcher for one of the manufacturers found that the probability of parents purchasing A or B is based on the parents' most recent purchase. Suppose that the following transition
probabilities are appropriate
O
Probabilities of Parents Purchasing A or B
From A
To A
To B
O
A
B
B
Which of the following is the correct two period tree diagram for a customer who last purchased Brand A?
O
A
0.75
A
0.20
0.25
0.75
0.75
0.25
0.25
0.75
A
B
A
B
A
0.25
B
0.80
0.75
0.25
0.20
0.80
0.75
0.25
0.20
0.80
0.25
0.75
0.20
0.80
A
B
A
B
A
B
A
B
A
B
A
B
(0.25)(0.75)-0.1875
(0.25)(0.25) 0.0625
(0.75)(0.20) 0.1500
(0.75)(0.80)-0.6000
(0.75)(0.75)=0.5625
(0.75)(0.25)-0.1875
(0.25)(0.20)-0.0500
(0.25)(0.80)-0.2000
(0.25)(0.25) 0.0625
(0.25)(0.75)-0.1875
(0.75)(0.20) 0.1500
(0.75)(0.80) 0.6000
Transcribed Image Text:QUESTION 1 The same scenario is used for all questions. New parents in a little town buy two major brands of infant formulas, labeled A and B. After some intensive study, a marketing researcher for one of the manufacturers found that the probability of parents purchasing A or B is based on the parents' most recent purchase. Suppose that the following transition probabilities are appropriate O Probabilities of Parents Purchasing A or B From A To A To B O A B B Which of the following is the correct two period tree diagram for a customer who last purchased Brand A? O A 0.75 A 0.20 0.25 0.75 0.75 0.25 0.25 0.75 A B A B A 0.25 B 0.80 0.75 0.25 0.20 0.80 0.75 0.25 0.20 0.80 0.25 0.75 0.20 0.80 A B A B A B A B A B A B (0.25)(0.75)-0.1875 (0.25)(0.25) 0.0625 (0.75)(0.20) 0.1500 (0.75)(0.80)-0.6000 (0.75)(0.75)=0.5625 (0.75)(0.25)-0.1875 (0.25)(0.20)-0.0500 (0.25)(0.80)-0.2000 (0.25)(0.25) 0.0625 (0.25)(0.75)-0.1875 (0.75)(0.20) 0.1500 (0.75)(0.80) 0.6000
QUESTION 6
To determine the long-run market shares for these two brands, which of the following is not a correct linear system?
0.75 0.25
|(5,5₂)=(3,5₂)
0.20 0.80
O
₁=0.75 +0.20
₂=0.25 +0.80₂
O
(1,₂)=(1^,^₂)|
0.25 -0.20m₂=0
₁+₂=1
None of the above
QUESTION 7
The long-run market shares for these two brands represented by, and respectively, are
5
7₁ and ₂
9
05-77005-7
and
and ,
II
9
and
and
9
5-
O None of the above
0.75 0.25
0.20 0.80
together with ₁+₂=1
together with ₁+₁=1
Transcribed Image Text:QUESTION 6 To determine the long-run market shares for these two brands, which of the following is not a correct linear system? 0.75 0.25 |(5,5₂)=(3,5₂) 0.20 0.80 O ₁=0.75 +0.20 ₂=0.25 +0.80₂ O (1,₂)=(1^,^₂)| 0.25 -0.20m₂=0 ₁+₂=1 None of the above QUESTION 7 The long-run market shares for these two brands represented by, and respectively, are 5 7₁ and ₂ 9 05-77005-7 and and , II 9 and and 9 5- O None of the above 0.75 0.25 0.20 0.80 together with ₁+₂=1 together with ₁+₁=1
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