The two-way table summarizes data on whether students at a certain high school eat regularly in the school cafeteria by grade level. Grade 9th 10th 11th 12th Total Yes 130 175 122 68 495 Eat in...

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Extracted text: The two-way table summarizes data on whether students at a certain high school eat regularly in the school cafeteria by grade level. Grade 9th 10th 11th 12th Total Yes 130 175 122 68 495 Eat in cafeteria? No 18 34 88 170 310 Total 148 209 210 238 805 a. If you choose a student at random, what is the probability that the student eats regularly in the cafeteria and is not a 10th-grader? b. If you choose a student at random who eats regularly in the cafeteria, what is the probability that the student is a 10th-grader? c. Are the events "10th-grader" and "eats regularly in the cafeteria" independent? Justify your answer.