My husband scares me with our baby. He doesn't have much childcare experience and I don't feel like he's very careful with her...

One day I came home from running an errand and asked where the baby was... he said, oh, she's sleeping on the changing table. Granted, she was only 2 weeks, but hello?! I told him not to leave her unattended except in the crib or pack n play... about two days later, I was trying to nap while DH watched baby, heard a thunk/baby screaming/husband running and learned she'd rolled off the couch (while he went to get something in the kitchen). I'm hoping that taught him a lesson, but now I don't trust his judgement. In addition, he doesn't interact with her a lot on his watch... often just puts her in the swing and goes in and out of the room. I want to give him bath duty so he has a chance to bond with her, but I'm worried he'd take his eyes off her and something horrific would happen.

Thoughts?