To investigate brand switching between different brands of detergent powder, a research company surveyed shoppers in an

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To investigate brand switching between different brands of detergent powder, a research company surveyed shoppers in an area to discover their behaviour. The survey on a number of shoppers in relation to three leading brands Superwash, Clean and Shine has revealed the following information.

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(a) Using the information, develop transition probability matrix.

(b) Calculate the market share for each brand after two purchases.

(c) Calculate the market share for each brand in the long run.

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