3 A large book publisher sells its book through two major book retailers. The company would like to know if people in different age groups tend to buy its books using different retailers. Results of a recent study were used to determine whether or not age group and type of retailer were independent. The data from this study are summarized in the following contingency table. 6 Age Group 9 Retailer Under 25 25-34 35-44 45-54 55 and Over Total A 45 35 24 16 12 132 12 B 22 21 27 28 20 118 Total 67 56 51 44 32 250 15 Question 1 (2 points) Saved Are the events "purchase at Retailer B" and "25-34 years old" independent? Explain why by calculating the relevant probabilities. 18