To determine if any of the students will need to repeat a thesis or a project based on Professor Emet's criteria, we will calculate the Failure Points accumulated by each student within any four consecutive months.
### Failure Points Criteria:
- **Less than 80 but more than 70 marks:** 1 Failure Point
- **Less than 70 but more than 60 marks:** 2 Failure Points
- **Less than 60 marks:** 3 Failure Points
If a student attends a doubt clarification class, they can make up 5 marks on the most recent weekly test, potentially changing their Failure Points for that test.
### Analysis of Each Student
#### Student 1:
1. **July 2020 (Second week)**: Scored 30 (3 Failure Points)
2. **August 2020 (First week)**: Scored 59 (3 Failure Points)
3. **January 2021 (Third week)**: Scored 43 (3 Failure Points)
4. **March 2021 (Second week)**: Scored 55 (3 Failure Points)
Within any four consecutive months:
- From July 2020 to October 2020: 3 (July) + 3 (August) = 6 points
- From December 2020 to March 2021: 3 (January) + 3 (March) = 6 points
**Conclusion**: Student 1 does not reach the 9 Failure Points in any four consecutive months.
#### Student 2:
1. **August 2020 (First week)**: Scored 58, attended class, adjusted to 63 (Adjusted to 2 Failure Points,)
2. **October 2020 (First week)**: Scored 68 (2 Failure Points)
3. **October 2020 (Second week)**: Scored 52, attended class, adjusted to 57 (3 Failure Points)
4. **March 2021 (Fourth week)**: Scored 43 (3 Failure Points)
Within any four consecutive months:
- From August 2020 to November 2020: 2 (August) + 2 (October) + 3 (October) = 7 points
- From December 2020 to March 2021: 3 (March) = 3 points
**Conclusion**: Student 2 does not reach the 9 Failure Points in any four consecutive months.
#### Student 3:
1. **September 2020 (First week)**: Scored 57, attended class too late, no adjustment (3 Failure Points)
2. **October 2020 (Fourth week)**: Scored 62 (2 Failure Points)
3. **November 2020 (First week)**: Scored 69 (2 Failure Points)
4. **December 2020 (Third week)**: Scored 59, attended class, adjusted to 64 (3 Failure Points, adjusted to 2)
Within any four consecutive months:
- From September 2020 to December 2020: 3 (September) + 2 (October) + 2 (November) + 2 (December) = 9 points
**Conclusion**: Student 3 accumulates 9 Failure Points from September to December 2020. Therefore, Student 3 needs to repeat the thesis.
#### Student 4:
1. **November 2020 (Second week)**: Scored 61 (2 Failure Points)
2. **December 2020 (Second week)**: Scored 63 (2 Failure Points)
3. **December 2020 (Third week)**: Scored 69 (2 Failure Points)
4. **January 2021 (Second week)**: Scored 65 (2 Failure Points)
Within any four consecutive months:
- From November 2020 to February 2021: 2 (November) + 2 (December) + 2 (December) + 2 (January) = 8 points
**Conclusion**: Student 4 does not reach the 9 Failure Points in any four consecutive months.
#### Student 5:
1. **July 2020 (Fourth week)**: Scored 63 (2 Failure Points)
2. **August 2020 (Second week)**: Scored 59 (3 Failure Points)
3. **August 2020 (Fourth week)**: Scored 52 (3 Failure Points)
4. **September 2020 (Third week)**: Scored 68 (2 Failure Points)
5. **October 2020 (First week)**: Scored 53 (3 Failure Points)
Within any four consecutive months:
- From July 2020 to October 2020: 2 (July) + 6 (August) + 2 (September) + 2 (October) = 12 points
**Conclusion**: Student 5 accumulates 12 Failure Points from August to October 2020. Therefore, Student 5 needs to repeat the project.
### Summary:
- **Student 1**: No repeats required.
- **Student 2**: No repeats required.
- **Student 3**: Needs to repeat the thesis.
- **Student 4**: No repeats required.
- **Student 5**: Needs to repeat the project.