As an extreme case, some parents get so stressed and chronically sleep deprived that they get frustrated at their babies for continually crying and shake them, leading to permanent brain damage and even death.[0] To be clear, these parents don't mean to hurt their child but they're not operating coherently anymore. A robot that can give parents a breather here and there would significantly improve quality of care for soooo many babies.
[0] https://www.mayoclinic.org/diseases-conditions/shaken-baby-s...
Funny, babies are also way more noise than signal >.<
Anyway, what I really wanted to share is "The Robot and the Baby", by John McCarthy (yeah, the same one): http://jmc.stanford.edu/articles/robotandbaby/robotandbaby.p...
An AI-powered rocker that plays soothing music till the baby sleeps would be great. People already use rockers, it's very accepted.
I would never have trusted a computer to be in charge of my infants. Even trusting another human adult is pretty tough already.
And even then, you could keep in in your computer or phone, be able to talk to it and discuss problems with an intelligence that knows your life almost as closely as you do, but not carrying it with you all of the time.
IDK, I think that would be pretty cool even if the idea of robot nanny scares the pants off of some people.