Advertising. A television advertising 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, 80 % of those using brand X continue to use it and 20 % switch to another brand. It is also found that of those not using brand X , 20 % switch to brand X while the other 80 % continue using another brand. (A) Draw a transition diagram. (B) Write the transition matrix. (C) If 20 % 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?
Advertising. A television advertising 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, 80 % of those using brand X continue to use it and 20 % switch to another brand. It is also found that of those not using brand X , 20 % switch to brand X while the other 80 % continue using another brand. (A) Draw a transition diagram. (B) Write the transition matrix. (C) If 20 % 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?
Solution Summary: The author illustrates the transition diagram for a survey where 80% of the people using shaving cream of brand X continue to use it and switch to another brand.
Advertising. A television advertising 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,
80
%
of those using brand
X
continue to use it and
20
%
switch to another brand. It is also found that of those not using brand
X
,
20
%
switch to brand
X
while the other
80
%
continue using another brand.
(A) Draw a transition diagram.
(B) Write the transition matrix.
(C) If
20
%
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?
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
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