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A university survey shows that 45% of students live on campus and 34% of students has a meal plan

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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 lives on campus?