Question: 11. The table summarizes the relationship between two categorical variables, grade year and the student's answer to the question, Do you eat regularly in the

11. The table summarizes the relationship between two categorical variables, grade year and the student's answer to the question, "Do you eat regularly in the school cafeteria?" Grade | 9% | 10 | 11h | 12 ) Total Eat in Yes | 130 175_ 122__ 68 495 cafeteria? No | 18 | 34 | 88 | 170 | 310 Total | 148 | 209 | (a) If you choose a student at random, what is the probability he or she eats regularly in the cafeteria? (b) If you choose a student at random, what is the probability he or she eats regularly in the cafeteria, given that he or she is in 10t grade? (c) If you choose a student at random, are the events "10t grade" and "eats regularly in the cafeteria" independent? Explain how you know

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