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Question
A die is thrown. If X denotes the number of positive divisors of the outcomes, then find the range of random variable X
Solution
When a die is thrown the set of possible outcomes is {1, 2, 3, 4, 5, 6}.
| Outcomes | Positive divisors of the outcomes | X: Number of positive divisors of the outcome |
| 1 | 1 | 1 |
| 2 | 1, 2 | 2 |
| 3 | 1, 3 | 2 |
| 4 | 1, 2, 4 | 3 |
| 5 | 1, 5 | 2 |
| 6 | 1, 2, 3, 6 | 4 |
∴ Range of random variable X = {1, 2, 3, 4}
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