Hello and welcome to Tom's Hardware Forums.
The DVD Writer doesn't need to be installed - just plugged in to a USB Port. You only need the Function 2 key to be able to goo into the BIOS or Setup to tell the system to look for the DVD for a bootable disk to be able to start the installation process.
If F2 or anything else doesn't appear on the screen when you power up, the notebook has bigger problems than the lack of an OS. Does your screen show anything when you switch on? Can you hear anything going on in there?