Question
The professor in a certain course requires the students to turn in two term papers during the semester. The length of the first paper is
The professor in a certain course requires the students to turn in two term papers during the semester. The length of the first paper is supposed to be about 15 pages, but the professor further explains that what he means by that is that it must be somewhere between 13 and 17 pages. (Since we will measure the length of papers only to the nearest page, this means the first paper can be 13, 14, 15, 16, or 17 pages long.) The second paper must be about 30 pages in length meaning somewhere between 27 and 33 pages (27, 28, 29, 30, 31, 32, or 33). For any given student, we express the length of the two papers as an ordered pair (1st paper length, 2nd paper length). Consider that event A is that the second paper is at least twice as long as the first. Event B is that the sum of the lengths of the two papers is less than or equal to 42 pages. Event C is that the sum of the lengths of the two papers is greater than or equal to 48 pages. If an experiment is selecting one student at random and finding the length of his papers, express the solution space S of the experiment as a set of outcomes, and similarly express events A, B, and C as sets of outcomes.
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