  Solid inflation can support a long period of anisotropic inflation. We
calculate the statistical anisotropies in the scalar and tensor power spectra
and their cross-correlation in anisotropic solid inflation. The tensor-scalar
cross-correlation can either be positive or negative, which impacts the
statistical anisotropies of the TT and TB spectra in CMB map more significantly
compared with the tensor self-correlation. The tensor power spectrum contains
potentially comparable contributions from quadrupole and octopole angular
patterns, which is different from the power spectra of scalar, the
cross-correlation or the scalar bispectrum, where the quadrupole type
statistical anisotropy dominates over octopole.
