Write SQL query to solve given problem: Within the year of 2001 to 2010, find the paper published rate of 2001.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT CAST(SUM(CASE WHEN Year = 2001 THEN 1 ELSE 0 END) AS REAL) / COUNT(Id) FROM Paper WHERE Year >= 2001 AND Year < 2011