Target rifles often have trigger pulls less than what is found on hunting rifles. I think 3 pound is about right for a hunting rifle, but in all honesty I don't know what the pull weight is on my target rifle. What is important though is that there is no perceptible movement of the trigger. That is what separates a good trigger from a poor one. A two stage military trigger takes up slack in the first stage, but a good one breaks very cleanly on the second stage.
Usually Remington triggers are quite good. I got pretty handy adjusting them for some of my friends, but I had a tough time doing anything with the trigger on my .308. Weight wasn't the problem, creep was, and if I adjusted all the creep out, it would drop the firing pin when I closed the bolt. I bought a Jewell to replace the factory trigger, but please understand - I did not need a Jewell trigger, I just wanted one. A replacement Remington trigger would of worked just fine at a fraction of the price.