There doesn't seem to be an official pronunciation of the word, its sorta like a tomato potato kinda thing however I've only ever heard 2 pronunciations ( ca-ribb-ean and cah-ra-be-un) I'm from the Caribbean.
The Caribbean has alot of worldwide influence from Europe,Africa, India and china so you'll find that's theres no "model look" for the average Caribbean person. we're all mixed with something