We have made a likelihood statistical analysis of the angular correlat
ions in the COBE-DMR two-year sky maps by Monte Carlo simulation of th
e temperature fluctuations. We assume an open universe and consider th
e primordial power spectrum of Harrison-Zeldovich, P(k) = Ak. We find
that the flatness of the universe is not implied by the data. The quad
rupole normalization amplitude, Q(rms-PS), is related to the density p
arameter, Omega, by Omega(rms-PS) = 10.67 + 55.81 Omega - 2128.59 Omeg
a(2) + + 81.26 Omega(3) mu K. We have determined the probability distr
ibution function (pdf) of Omega arising from cosmic plus sampling (i.e
. 20 degrees galactic cut) variance which generically shows a bimodal
shape. The uncertainty as given by the rms is approximate to 0.35; the
refore, to constrain Omega better, experiments sensitive to higher mul
tipoles (l > 20) should be considered.