Homework SourseTwo of the integers 3 5 7 8 9 are chosen at random without r
Two of the integers {3, 5, 7, 8, 9} are chosen at random without replacement. Let X denote the difference larger minus smaller number. List the distinct values of X and determine their probabilities. [Write the X -values in ascending order.]
Solution
Consider the results:
Thus,
[ANSWER]
| Larger Number | Smaller Number | X |
| 9 | 3 | 6 |
| 9 | 5 | 4 |
| 9 | 7 | 2 |
| 9 | 8 | 1 |
| 8 | 3 | 5 |
| 8 | 5 | 3 |
| 8 | 7 | 1 |
| 7 | 3 | 4 |
| 7 | 5 | 2 |
| 5 | 3 | 2 |
