hey jj, why not look at it in a simpler and easier way. The league OBP is .339 in the AL (which I am going to use to extrapolate the DH problem). Using simple stat 101 class stuff we can find the standard deviation using the formula s = sqrt (pqn)/n in this case. So if we let, say a 600 PA cut off, we get s = sqrt (600*.339*.661)/n = .019. So a .350 OBP is .569 stdevs over the mean, which the tail is going to correspond with a little less than 30% of the league having an OBP over .350. However, there's a bit of an issue that the league average is skewed by countless scrubs getting a lot of ABs (guys who wouldn't normally get 600 PAs which brings this down in the averages). Of the 148 players in MLB last season who got at least 500 PAs, 91 (61%) had OBP of .350 or higher. They averaged a .356 OBP. And mathematically, 62% of those players should have had an OBP over .350. If you break this down into teams, that gives an average of over 3 on each team, BUT doing so gives us an average offense. Any teams from like 5th to 10th in the league in offense would have 3 guys with this obp on their team. If you want a playoff caliber offense you're going to need five or so - or a lot of power to back it up