Firefox auf meiner HP anbieten

Ja.

http://www.mozilla.org/foundation/trademarks/faq.html

Ich denke, das sollte kein Problem sein. Aber vielleicht solltest du auf eine Seite verlinkten, auf der verschiedene Versionen für verschiedene Betriebssysteme zur Auswahl stehen.
Im Wiki Artikel Installation (Link) findest du einige solcher Seiten.
Eine Übersicht bietet auch der Artikel Firefox Versionen (Link).

Zitat von <woltlab-metacode-marker data-name=

Mozilla Trademark Policy" data-link="">

Linking

So long as you don't do anything that might confuse visitors to your website, or that might violate the Overall Guidelines for Printed Materials, above, Mozilla invites you to link to Mozilla's website, including for the purpose of allowing your visitors to download the Mozilla Firefox Internet browser and Thunderbird e-mail client. Mozilla even provides the banners and buttons to facilitate the download of Mozilla software:

• Firefox Banners and Buttons
• Thunderbird Banners and Buttons

The only exception to this policy is for site icons (favicons). If you plan to use a Mozilla trademark as a site icon, you need to request permission. Also, please remember that Mozilla disapproves of and does not provide "Best Viewed With" buttons, when used in connection with the Firefox Internet browser; Mozilla believe the web is best viewed with any standards-compliant browser.