7 Sasha tends to forget his passwords. He investigates whether the number of attempts he needs to log on to a system with a password can be modelled by a geometric distribution. On 60 occasions he records the number of attempts he needs to log on, and the results are shown in the table.
| Number of attempts | 1 | 2 | 3 | 4 or more |
| Frequency | 20 | 19 | 13 | 3 |
- Test at the \(1 \%\) significance level whether the results are consistent with the distribution Geo(0.4).
[0pt] - Suggest which two probabilities should be changed, and in what way, to produce an improved model. (Numerical values are not required.) You should give a reason for your suggestion. [3]