A soft drinks company has commissioned an investigation of the level of recognition of one of its brands in various countries that are considered important markets. Random samples of respondents in each country were asked to identify the product from the brand image. The results are:
(a) What is the probability that a respondent recognizes the brand?
(b) What is the probability that a respondent is from Hungary?
(c) What is the probability that a respondent recognizes the brand and is from Estonia?
(d) If a respondent is from Poland, what is the probability that s/he recognizes the brand?
(e) Compare your answers to (a) and (d), and comment on whether the country of residence of a respondent and brand recognition are independent.