One of my children had a serious problem right after birth with breathing (central apnea). He'd stop breathing suddenly while sleeping. If this had happened at home he likely would not have made it, but the hospital was very alert to it and after two weeks with many such episodes it suddenly clicked and then it never happened again.

If we had taken him home without knowing about the condition I'm pretty sure a 'SIDS' cause of death would have been one of the possible outcomes regardless of the actual cause (which would have been very hard to determine after the fact).