  We prove that the integrated density of states (IDS) of random
Schr\"{o}dinger operators with Anderson-type potentials on $L^2 (\R^d)$, for $d
\geq1$, is locally H\"{o}lder continuous at all energies with the same
H\"{o}lder exponent $0<\alpha\leq1$ as the conditional probability measure for
the single-site random variable. As a special case, we prove that if the
probability distribution is absolutely continuous with respect to Lebesgue
measure with a bounded density, then the IDS is Lipschitz continuous at all
energies. The single-site potential $u\in L\_0^\infty (\R^d)$ must be
nonnegative and compactly-supported. The unperturbed Hamiltonian must be
periodic and satisfy a unique continuation principle. We also prove analogous
continuity results for the IDS of random Anderson-type perturbations of the
Landau Hamiltonian in two-dimensions. All of these results follow from a new
Wegner estimate for local random Hamiltonians with rather general probability
measures.
