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3 A popular restaurant in the mall has conducted market research on four new salads...

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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 Feta Cheese 10 BBQ Chicken 60 Asian Ginger 10 Chopped Cobb 20 Under 25 36 25 to 34 14 35 to 44 17 Age 45 to 54 14 55 to 64 8 65 to 74 6 75 and over 5 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 3 What is the probability that a randomly selected person from the study is under 75 years old

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