Thanks for your input Tuttle,

I am getting sort of confused here.

The file I have downloaded (jre-1_5_0_09-windows-i586-p-s.exe) is the full offline installer, it has 15.74 MB, and I have downloaded it from
http://www.java.com/en/download/windows_xpi.jsp, as directed by the Mozilla people.

The difference that I notice is the (-s) before de .exe in the name of the file I have downloaded. It might indicate that is the Spanish version.