  We describe the generation of sequences of random bits from the parity of
photon counts produced by polarization measurements on a polarization-entangled
state. The resulting sequences are bias free, pass the applicable tests in the
NIST battery of statistical randomness tests, and are shown to be Borel normal,
without the need for experimental calibration stages or postprocessing of the
output. Because the photon counts are produced in the course of a measurement
of the violation of the Clauser-Horne-Shimony-Holt inequality, we are able to
concurrently verify the nonclassical nature of the photon statistics and
estimate a lower bound on the min-entropy of the bit-generating source. The
rate of bit production in our experiment is around 13 bits/s.
