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Kelsey Grammar, Kayte, Faith

GB818/FAMEFLYNET PICTURES

Sounds like Kelsey Grammer's baby daughter Faith may end up in the family business.

The former Frasier star tells me that the 6-month-old "definitely" has the show business gene.

"She's a unique individual already," Grammer said at this weekend's DGA Awards, which he hosted. "She's really a charming person. She loves to engage other people."

Mom Kayte isn't opposed to Faith going into show business. "Whatever makes her happy," she said.

Asked about baby firsts, Kelsey laughed, "She's had a couple of temper tantrums, which has been a little surprising. [But] we soldier on through them."

For more from the DGA Awards, check out E! News tonight at 7 p.m. & 11:30 p.m.