I'm a new DM and it is my first time playing D&D 5th edition.
One of my player's character is an archer elf with a +4 Dexterity modifier. When she uses her longbow, she gets the +2 poficiency bonus, plus the +2 bonus given by her archer specialization. That gives us a +8 modifier on the attacks with the longbow. Is it normal ?
When we created her character we used the random rolling method : roll 4d6 and take the three best rolls. She got a 16 in Dexterity, plus the +2 augmentation given by her racial trait (elf), so she got an 18. That's a +4 Dexterity modifier. Add to that the +2 Proficiency bonus for war weapons (given by her warrior class), and the +2 bonus for ranged weapons (given by the Archery combat style she chose).
That's a total of +8 for her attack bonus when she uses her longbow.
On one hand I'm a bit surprised because it seems high, but on the other I feel it would be unfair to nerf it.
I didn't find where to look for the answer, can somebody help me ?