The first-time candidate will be up against steep competition from former governor Crist, who represents a district that leans Democratic.
"I'm going to run on my character and my policies, not only on the Republican ticket," Buck said looking forward to Nov. 6.
Buck had 56 percent of the vote compared to opponent's Brad Sostack's 44 percent, according to results reported Tuesday night by Pinellas County.
He faced some scrutiny during the race after the Tampa Bay Times reported that his Ph.D. came from a fraudulent and defunct university.
"I'm too old to run into burning buildings," Buck said. "Now, I want to help with legislation."
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