A television campaign is conducted during the football season to promote a well-known brand
xshaving cream. For each of several weeks, a survey is made, and it is found that each week,
90%of those using brand
xcontinue to use it and
10%switch to another brand. It is also found that of those not using brand
x,10%switch to brand
xwhile the other
90%continue using another brand. (A) Draw a transition diagram. (B) Write the transition matrix. (C) If
20%of the people are using brand
xat the start of the advertising campaign, what percentage will be using it 1 week later? 2 weeks later? (Type integers or decimals. Do not include the
%symbol in your answer.) (B) Write the transition matrix, P. Let
Abe the state in which people use brand
x. (Type an integer or a decimal for each matrix element.) (C) The percentage of people using brand
x1week after the start of the advertising campaign is %. (Type an integer or a decimal.)
