3. A popular restaurant in the mall has conducted market research on four new salads it is considering putting on the menu. The percentages of study participants in various age categories and their salad preferences are shown in the table below. Salad preference was found to be independent of age. Salad preference Under 25 25 to 35 to Age 45 to 55 to 65 to 75 and 34 36% 14% 44 17% 54 64 74 over 14% 8% 6% 5% Feta Cheese 10% BBQ Chicken 60% Asian Ginger 10% Chopped Cobb 20% a. People who participated in the study will be randomly selected for face-to-face interviews. What is the probability that the marketing department will randomly select someone who is 55 or older and prefers the BBQ chicken salad? b. Is the event you analyzed in part (a) an intersection or a union? How does the intersection of "55 or older" and "BBQ" differ from the union of "55 or older" and "BBQ"? c. Calculate the probability of "55 or older" or "BBQ" using the Addition Rule. How does it compare to the probability from part (a)? . What is the probability that a randomly selected person from the study is under 75 years old?