6 Three six-sided dice, which were assumed to be fair, were rolled 250 times. On each occasion the number \(X\) of sixes was recorded. The results were as follows.
| Number of sixes | 0 | 1 | 2 | 3 |
| Frequency | 125 | 109 | 13 | 3 |
- Write down a suitable model for \(X\).
- Test, at the \(1 \%\) level of significance, the suitability of your model for these data.
- Explain how the test would have been modified if it had not been assumed that the dice were fair.