A contrite David Letterman made a public apology to his wife Regina on his late-night talk show Monday night following the sex scandal that continues to dog him.

After apologizing to his staff for all the unwanted media attention, Letterman said: "Now the other thing is my wife, Regina. She has been horribly hurt by my behavior, and when something happens like that, if you hurt a person and it's your responsibility, you try to fix it. And at that point, there's only two things that can happen: either you're going to make some progress and get it fixed, or you're going to fall short and perhaps not get it fixed, so let me tell you folks, I got my work cut out for me."

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