  The distribution function of the local density of states is computed exactly
for the Wigner-Dyson ensemble of random Hamiltonians. In the absence of
time-reversal symmetry, precise agreement is obtained with the "supersymmetry"
theory by Efetov and Prigodin of the NMR lineshape in disordered metal
particles. Upon breaking time-reversal symmetry, the variance of the Knight
shift in the smallest particles is reduced by a universal factor of 2/3. ***To
be published in Physical Review B.****
