Conrade Murray. I was jailed at the wrong place at the wrong time- Michael Jackson's Doctor

Los Angeles (CNN) -- The doctor convicted in Michael Jackson's death serenaded CNN's Anderson Cooper with a song that he said "tells my story."

Dr. Conrad Murray's unexpected rendition of Nat King Cole's "The little boy that Santa Claus forgot" came during one of two jailhouse interviews he granted to CNN: one recorded Friday with Don Lemon and the second broadcast live with Anderson Cooper on Tuesday evening.

The interviews, his first with a journalist since he was convicted in November 2011 of involuntary manslaughter, come as the trial begins in the wrongful death lawsuit filed by Jackson's children and mother accusing concert promoter AEG Live of the negligent hiring of Murray.

Along with the song, Murray talked about his role in the death of Michael Jackson, who the coroner ruled died from a lethal combination of sedatives and the surgical anesthetic propofol.

"My entire approach may not have been an orthodox approach, but my intentions were good," Murray told Cooper about his use of propofol to treat Jackson's insomnia as he prepared for comeback concerts.

Murray told Lemon he is a scapegoat who had the bad luck of being "in the wrong place at the wrong time."

Jackson died on the morning of June 25, 2009, after a long, sleepless night in which Murray used sedatives and propofol to treat his insomnia, according to court testimony in the doctor's criminal trial. It was a practice that Murray had followed most nights in the previous month and other doctors had done for Jackson in past years.