I remember a case where a black soldier killed 4 people (co-workers of his where he had a part-time job), back in 1994...turns out he had a criminal record but what should have been a felony was reduced to a misdemeanor and so the army let him join.
Part of the problem, since they are so obsessed with percentages, is that the army wants recruits who have high school diplomas and no criminal record--since a higher percentage of whites finish high school than blacks or Hispanics, it's going to be hard to have the black and Hispanic percentages in the military match their percentages in the population at large.
No problem! They will just lower the standards like the did for the police exams.