At a small midwestern college, 47% of the students commute. It was also found that 61.6%  are liberal arts majors, while 19.2% commute and are not liberal arts majors. Let A be the event for commuting and B be the event for liberal arts majors. a) Construct a contingency table displaying all the probabilities. b) Given that the student is a liberal arts major, what is the probability that the student commutes? c) What is the probability that you randomly select a student who does not commute or is not a liberal arts major? d) Is being a liberals art major and not commuting independent events?

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