  We calculate the electron spectrum of semileptonic decays of B-mesons into
non-charmed hadrons. The shape of the spectrum obtained from QCD sum rules is
in general agreement with quark model calculations. At high electron energies
the decrease of the spectrum is less steep than predicted by Altarelli et al.
Our analysis yields a total decay rate $\Gamma(B\to X_u e\bar\nu) = (6.8\pm
2.0) 10^{13} |V_{ub}|^2 {s}^{-1}$. For the spectrum integrated over electron
energies in the interval $2.4{ GeV}\leq E_e \leq 2.6\mbox{\ GeV}$ in the
laboratory frame we obtain $\Gamma(B\to X_u e \bar\nu)= (5.0\pm 1.6) 10^{12}
|V_{ub}|^2 {s}^{-1}$. Estimating all sorts of theoretical uncertainties, we
obtain $|V_{ub}| = 0.003\pm 0.001$ for the $b \to u$ weak transition matrix
element from the new CLEO-data.
