Syapse's Precision Medicine Platform needs a state-level education summary to identify regions with the fewest graduates while prioritizing regions with the largest student populations. Write a PostgreSQL query that uses the student, graduate, and education tables.
| Column | Type | Description |
|---|---|---|
| student_idPK | INT | Unique student identifier |
| student_name | VARCHAR(100) | Student's full name |
| state | VARCHAR(2) | Two-letter state code |
| Column | Type | Description |
|---|---|---|
| graduate_idPK | INT | Unique graduation record identifier |
| student_id | INT | Student associated with the graduation record |
| graduation_year | INT | Year of graduation |
| Column | Type | Description |
|---|---|---|
| education_idPK | INT | Unique education record identifier |
| student_id | INT | Student associated with the education record |
| degree | VARCHAR(100) | Degree or educational program |
| institution_name | VARCHAR(150) | Educational institution name |