[lubuntu] Am I safe ?

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http://ubuntuforums.org – I have several PC/Laptops connected by wired/wireless to my home router. All I want is protection for an old laptop, used only for banking, that I have Lubuntu 10.04 installed on it. That laptop is only connected to my bank, all the remote access programs like Vinagre are removed, Firewall is enabled. Can I be sure that that machine cannot be compromised ? (Hardware)