Statistics question. Probability question and rules. Please show work for each part.

3. (25 points) A university survey shows that 45% of students live on campus and 34%of students has a meal plan. 60% of students live on campus or has a meal plan.(1) What is the probability that a student both lives on campus and has a meal plan?(2) What is the probability that a student neither lives on campus nor has a meal plan?(3) What is the probability that a student who does not live on campus has a meal plan?(4) Are living on campus and having a meal plan independent? Justify briefly.(5) If you randomly pick S students, what is the probability that at least one of them liveson campus?

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