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A student feels that 70% of his university courses have been enjoyable and the remainder have been boring. This student had access to student evaluations of professors and finds out that professors who had previously received positive evaluation have taught 80% of his enjoyable courses and 20% of his boring courses. (13 points) a) Construct a table or a tree diagram of joint probabilities. (4 points) b) What is the probability that a randomly chosen course will either be given by a professor with positive evaluation or it will be enjoyable (or both)? (3 points) c) What is the probability that a professor with negative evaluation will give an enjoyable course? (3 points) d) Are the teacher evaluations and the quality of courses statistically independent? (3 points)
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Statistics - A student feels that 70% of his university courses have been enjoyable
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