  We consider quantum birth of a hot Universe in the framework of quantum
qeometrodynamics in the minisuperspace model. The energy spectrum of the
Universe in the pre-de-Sitter domain naturally explains the cosmic microwave
background (CMB) anisotropy. The false vacuum where the Universe tunnels from
the pre-de-Sitter domain is assumed to be of a Grand Unification Theory (GUT)
scale. The probability of the birth of a hot Universe from a quantum level
proves to be about $10^{-10^{14}}$. In the presence of matter with a negative
pressure (quintessence) it is possible for open and flat universes to be born
as well as closed ones.
