Write SQL query to solve given problem: From 1/3/97 to 8/10/97, how many orders were shipped via Federal Shipping?. Keep the solution inside sql tag ```sql [SQL-Query] ```
SELECT COUNT(T1.OrderID) FROM Orders AS T1 INNER JOIN Shippers AS T2 ON T1.ShipVia = T2.ShipperID WHERE T2.CompanyName = 'Federal Shipping' AND T1.ShippedDate BETWEEN '1997-03-01 00:00:00' AND '1997-10-08 23:59:59'