Just made an edit -- I incorrectly listed the host of "You Bet Your Life" as Jack Benny. Actually, the honor went to Groucho Marx. And it seems that the think music is actually Groucho Marx's theme, and has lyrics:"Hooray for Captain Spaulding! The African Explorer!"
This topic is right in my wheelhouse because I love music theory, timing and time signatures. I also love mentally analyzing any music to determine the rhythmic patterns.