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(Solved): A television campaign is conducted during the football season to promote a well-known brand x shavi ...



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,

90%

of those using brand

x

continue to use it and

10%

switch to another brand. It is also found that of those not using brand

x,10%

switch to brand

x

while 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

x

at 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

A

be 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

x1

week after the start of the advertising campaign is %. (Type an integer or a decimal.)



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