Yes, you are correct. Followings are findings from Illinois-Indiana Sea Grant College Web site.
(http://www.iisgcp.org/EXOTICSP/carp.htm)
Sorry for the mixed-up.
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ORIGIN
Carp were first brought to North America from Europe in the early 1800's as a food fish. Today, carp are found throughout the United States and Canada, and inhabit almost many rivers and lakes in the United States. Carp are truly a fish that's here to stay.