What are the risk for a baby born at thitry-four weeks How long would the infant have to stay in nic?

It depends on the sex of the baby and how well the baby responds to treatment. It also depends on whether the baby gets sick while in the NICU. Girls are fighters, they leave 2-3 earlier than boys. 34 weeks is not too bad, the baby has a great chance of catching up and living a normal life. I would use google to search on "premature baby risks" and see what else you come up with.