Write SQL query to solve given problem: Calculate the average of authors for each paper from the year of 1990 to 2000.. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT CAST(COUNT(DISTINCT T2.AuthorId) AS REAL) / COUNT(DISTINCT T1.Title) FROM Paper AS T1 INNER JOIN PaperAuthor AS T2 ON T1.Id = T2.PaperId WHERE T1.Year BETWEEN 1990 AND 2000