Related to this question: What happens if a muggle-born wizard doesn't want to learn magic?
If the muggle-born child isn't tutored in magic, is he/she still subject to wizarding laws?
Are they going to be bound by the Decree for the Reasonable Restriction of Underage Sorcery if they don't have a wand and are never properly trained in magic? Tom Riddle and Lily Evans had varying degrees of control over their magic even without wands and training. They intuitively were able to control the force within themselves. They had the advantage of attending Hogwarts, but what if they hadn't?
Are they going to lock up a kid who doesn't / can't attend school but is still using their magical abilities?