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Upon inspection, random.randint(a,b) does not include the endpoint b, contrary to documentation, and contrary to the argumentation in Issue7009.
To see this, run e.g.
sum(np.random.randint(0,1,1000))
which will return 0 repeatedly (statistically very unlikely). I tried both on Kubuntu 14.04/python 2.7 and pythoneverwhere.org
Within random.py, randint is (in both 2.7 and 3.5) implemented as 
def randint(self, a, b):
 """Return random integer in range [a, b], including both end points.
 """
 return self.randrange(a, b+1)
which falsely seems to include the endpoint (as randrange excludes the endpoint). However, upon running it does not.

You seem to be confusing `np.random.randint`, which is a function from NumPy (not part of core Python), with `random.randint` from the standard library. NumPy's np.random.randint does not include the endpoint. Python's does. As far as I can tell, the documentation is correct for both.
Python 2.7.8 (default, Oct 15 2014, 22:04:42) 
[GCC 4.2.1 Compatible Apple LLVM 5.1 (clang-503.0.40)] on darwin
Type "help", "copyright", "credits" or "license" for more information.
>>> import random
>>> sum(random.randint(0, 1) for _ in range(1000))
501
Closing as 'not a bug'.