This edition of the book that I downloaded in May of 2012 does include "The Final Problem."
It seems to follow the 1894 American book edition, in that "The Cardboard Box" is *not* included, and several paragraphs of that story are inserted into "The Resident Patient." You can see the Wikipedia entry for the most singular circumstances surrounding the publication.
I don't want to nitpick Tad's excellent review, but he is inaccurate on one point.
This version, as of April 2012, includes all twelve short stories collected in 1892 as "The Adventures of Sherlock Holmes", including "The Red-Headed League," and "The Adventure of the Speckled Band."
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