Yes, Ravi Shankar is still alive.
I can't believe anyone DIDN'T know he was her father. That's like not knowing that Steven Tyler is Liv Tyler's dad. (No offense intended, but I honestly think it was emphasized in every story & review of her first record.)
I think she is terrific, and very charming, too. And then there's her looks, which don't hurt. Those photos of her as a young girl were stunning -- she was so photogenic, and very "direct" with the camera. I think she's just a born performer, and talented as well.