  The Lambda_b to Lambda_c semileptonic decay is analyzed in the framework of
heavy quark effective theory to the order of 1/m_c and 1/m_b. The QCD sum rule
and large N_c predictions to the decay form factors are applied. It argues that
the subleading baryonic Isgur-Wise function in the large N_c limit vanishes.
The decay rates, distributions and asymmetry parameters are calculated
numerically. Some of the nonleptonic decay modes are discussed in the end.
