Sorry to hear that.

If you haven't already, could you try downloading the "full" installer from this page (scroll down to your preferred language):

https://www.mozilla.org/firefox/all/

That is much larger than the "stub" installer but doesn't need to connect back to Mozilla for additional files, so sometimes works better.

Note that Firefox 32.0.3 has been released.

• https://www.mozilla.org/security/known-vulnerabilities/firefox.html

Try this:

• Download the full Firefox installer and save the file to the desktop
  https://www.mozilla.org/en-US/firefox/all.html
• Start the installation with a double-click on the desktop icon