  We propagate the statistical uncertainty of experimental NN scattering data
into the binding energy of $^3$H and $^4$He. We also study the sensitivity of
the magnetic moment and proton radius of the $^3$H to changes in the NN
interaction. The calculations are made with the no-core full configuration
method in a sufficiently large harmonic oscillator basis. For those light
nuclei we obtain $\Delta E$($^3$H) = 0.015 MeV and $\Delta E$($^4$He) = 0.055
MeV.
