Yes, the database is running.

PS: To double check, I even started the database manually. It was already running.

C:\oraclexe\app\oracle\product\10.2.0\server\BIN>net start OracleMTSRecoveryServ
ice
The requested service has already been started.

More help is available by typing NET HELPMSG 2182.


C:\oraclexe\app\oracle\product\10.2.0\server\BIN>net start OracleXETNSListener
The requested service has already been started.

More help is available by typing NET HELPMSG 2182.


C:\oraclexe\app\oracle\product\10.2.0\server\BIN>net start OracleServiceXE
The requested service has already been started.

More help is available by typing NET HELPMSG 2182.