What's the correct pronunciation of "epitome": "Epi-tome" or "Epi-tuh-mi"?
Solution 1:
Epitome comes from Greek but it was introduced in English via the Medieval French épitomé. It's now very rarely used in French, really found only in scholarly works.
Note the acute accent at the end. This is why you pronounce it with an 'i'. For instance: Beauté => Beauty.
Solution 2:
As reported by the NOAD and the OED, Epitome is pronounced /əˈpɪdəmi/ in American English and /ɪˈpɪtəmi/ (or /ɛˈpɪtəmi/) in British English.