3. A professor wanted to understand the general level of satisfaction of the stu

Question

3. A professor wanted to understand the general level of satisfaction of the students in his courses according to whether or not the student bought the book for the course. The analysis of results from the survey is summarized belew. (10 points per question) Book Owner High 24 3 27 Total 26 9 35 Yes No Total Satisfaction Med 1 4 Low 1 2 5 3 a. If a student is randomly selected from the sample, what is the probability that the student has high levels of satisfaction? b. What is the probability that, a randomly selected student from the sample, has low levels of satisfaction and owns the course book? Assuming that you selected a student that does not own the book, what is the probability that the student has low levels of satisfaction? c. 4. You have 40 coins in your pocket, but not all coins are the same, 17 of them are SPECIAL coins, 10 are FAKE coins and 13 are REGULAR coins. Yet, you do not know how to differentiate them inside your pocket. Assuming that you are sampling without replacement, what is the probability that the first coin yo take out is SPECIAL, the second is FAKE and the third is REGULAR? (20 pts)

Explanation / Answer

3. (a) Prob. = 27/35 = 0.7714
(b) Prob. = 1/35 = 0.0286
(c) Prob. = 2/9 = 0.2222

4. Prob. = (17/40) * (10/39) * (13/38) = 0.0373

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