A company is wondering whether a consumer?s preferred brand, among its own and competing brands, is related to the age of the consumer. The company conducts a survey of 2000 consumers, asking participants to indicate which brand they prefer and which age group they belong to. The responses to these two questions are summarised using a contingency table.

For each set of respondents in a particular age group, use the information in the table to determine the probability that a consumer prefers Brand A. Do the same for Brands B, C and D. Arrange the probabilities that you have calculated into a suitable table. Write a short report to the company discussing these results and whether you think the preference towards a particular brand is related to a consumer?s age.

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Preferred brand Brand C 100 Age (years) Brand A Brand B Brand D 18 to 34 110 210 80 200 35 to 54 280 176 144 55 or more 126 126 266 182