  Using a simple quantum master equation approach, we calculate the Full
Counting Statistics of a single electron transistor strongly coupled to
vibrations. The Full Counting Statistics contains both the statistics of
integrated particle and energy currents associated to the transferred electrons
and phonons. A universal as well as an effective fluctuation theorem are
derived for the general case where the various reservoir temperatures and
chemical potentials are different. The first relates to the entropy production
generated in the junction while the second reveals internal information of the
system. The model recovers Franck-Condon blockade and potential applications to
non-invasive molecular spectroscopy are discussed.
