A television campaign is conducted during the football season to promote a well-known brand X shaving cream. For each of several weeks, a survey is made, and it is found that each week, 60% of those using brand X continue to use it and 40% switch to another brand. It is also found that of those not using brand X, 40% switch to brand X while the other 60% continue using another brand. (A) Draw a transition diagram (B) Write the transition matrix (C) If 30% of the people are using brand X at the start of the advertising campaign, what percentage will be using it 1 week later? 2 weeks later? (A) Draw the transition diagram. Let A be the state in which people use brand X bo 0 (Type integers or decimals. Do not include the % symbol in your answer.) (B) Write the transition matrix, P. Let A be the state in which people use brand X A A' 20 -P (Type an integer or a decimal for each matrix element) (C) The percentage of people using brand X 1 week after the start of the advertising campaign is %. (Type an integer or a decimal.) The percentage of people using brand X 2 weeks after the start of the advertising campaign is %. (Type an integer or a decimal)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A television campaign is conducted during the football season to promote a well-known brand X shaving cream. For each of several weeks, a survey is made, and it is found that each week, 60% of those using brand X continue to use it and 40% switch to another brand. It is also
found that of those not using brand X, 40% switch to brand X while the other 60% continue using another brand.
(A) Draw a transition diagram.
(B) Write the transition matrix.
(C) If 30% of the people are using brand X at the start of the advertising campaign, what percentage will be using it 1 week later? 2 weeks later?
(A) Draw the transition diagram. Let A be the state in which people use brand X
0
Doto.F
A
(Type integers or decimals. Do not include the % symbol in your answer.
(B) Write the transition matrix, P. Let A be the state in which people use brand X
A A'
A0
-P
(Type an integer or a decimal for each matrix element.)
(C) The percentage of people using brand X 1 week after the start of the advertising campaign is %.
(Type an integer or a decimal.)
The percentage of people using brand X 2 weeks after the start of the advertising campaign is %
(Type an integer or a decimal.)
4
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Transcribed Image Text:A television campaign is conducted during the football season to promote a well-known brand X shaving cream. For each of several weeks, a survey is made, and it is found that each week, 60% of those using brand X continue to use it and 40% switch to another brand. It is also found that of those not using brand X, 40% switch to brand X while the other 60% continue using another brand. (A) Draw a transition diagram. (B) Write the transition matrix. (C) If 30% of the people are using brand X at the start of the advertising campaign, what percentage will be using it 1 week later? 2 weeks later? (A) Draw the transition diagram. Let A be the state in which people use brand X 0 Doto.F A (Type integers or decimals. Do not include the % symbol in your answer. (B) Write the transition matrix, P. Let A be the state in which people use brand X A A' A0 -P (Type an integer or a decimal for each matrix element.) (C) The percentage of people using brand X 1 week after the start of the advertising campaign is %. (Type an integer or a decimal.) The percentage of people using brand X 2 weeks after the start of the advertising campaign is % (Type an integer or a decimal.) 4 Search the web hulu O Time Remaining: 01:56:03 Next 4:32 PM 12/13/2022
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