Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Q 1)A soft drinks company has commissioned an investigation of the level of reco

ID: 3307232 • Letter: Q

Question

Q 1)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: Brand recognition Country yes no Czech Republic 115 29 Estonia 66 35 Hungary 87 61 Poland 131 20 (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

Explanation / Answer

(a) Probability that a respondent recognizes the brand = 399/544 = 0.7335.

(b) Probability that a respondent is from Hungary = 148/544 = 0.2721.

(c) Probability that a respondent recognizes the brand and is from Estonia = 66/544 = 0.1213.

(d) Probability that a respondent recognizes the brand given she is from Poland = 131/151 = 0.8675.

Brand Recognition Czech Republic Estonia Hungary Poland Total Yes 115 66 87 131 399 No 29 35 61 20 145 Total 144 101 148 151 544