Final answer:
Carroll O'Connor played Archie Bunker in 'All in the Family' for 13 years and won four Emmy Awards for his work. Option a is the correct answer.
Step-by-step explanation:
The actor who played Archie Bunker for 13 years is Carroll O'Connor. This character is the main protagonist of the television series All in the Family which aired from 1971 to 1983. Carroll O'Connor's portrayal of the lovable bigot Archie Bunker was not only iconic but also earned him four Emmy Awards.
The series touched on many significant social issues and was known for its controversial subjects, which was groundbreaking at that time.
So Option a is the correct answer.