Question

A department store is developing a new advertising campaign for their new location in a different region, and their marketing managers need to understand their target market better. A survey of adult shoppers found the probabilities that an adult would shop at their new store classified by age is shown in the contingency table. Complete parts a through d. .: Click the icon to view the contingency table. a) What is the probability that a survey respondent will shop at the new store? The probability is (Type an integer or a decimal. Do not round.) b) What is the probability that a survey respondent will shop at the store given that they are younger than 20 years old? Contingency table The probability is (Round to two decimal places as needed.) Shop c) What is the probability that a survey respondent who is older than 40 shops at the store? The probability is (Round to two decimal places as needed.) Age < 20 20-40 > 40 Total Yes 0.29 0.24 0.11 0.64 No 0.05 0.08 0.23 0.36 Total 0.34 0.32 0.34 d) What is the probability that a survey respondent is younger than 20 or will shop at the store? 1.00 The probability is (Round to two decimal places as needed.) Print Done

Answer 1

a) P(Will shop) = 0.64

b) P(Will shop | Younger than 20) = 0.29/0.34 = 0.85

c) P(Will shop | Older than 40) = 0.11/0.34 = 0.32

d) P(Younger than 20 or will shop) = 0.34 + 0.64 - 0.29 = 0.69