Write SQL query to solve given problem: What is the population density of the nation whose capital city is in the Distrito Federal province, and what portion of its gross domestic product is devoted to its industries?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT T1.Population / T1.Area, T2.Industry FROM country AS T1 INNER JOIN economy AS T2 ON T1.Code = T2.Country WHERE T1.Province = 'Distrito Federal'