What might work is a free web uploading service, and then you can just send your friend the link. 11MB is probably over the filesize limit for hotmail accounts.
Chris Imrie has a file upload service, but its 5MB max - however I did a quick google and found these ones that might do the trick:
Another enhancement to the Hotmail service is the capability to send attachments up to 10MB in size, up from a previous e-mail maximum size of 1MB including attachments.
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