colors and very low levels of current star formation. Such trends suggest an association between the presence of an AGN and the quenching of star formation throughout a galaxy, possibly due to feedback from the AGN. A number of more recent studies, however, have shown that AGN hosts have a similar distribution of colors to galaxies of equivalent stellar masses [e.g. @Silverman09b; @Xue10; @Cardamone10; @Rosario13].

@Aird12 recently showed that the predominance of AGNs in more massive galaxies is in fact a selection effect; the probability of a galaxy hosting an AGN is determined by a power-law distribution of specific accretion rates—the rate of accretion scaled by the stellar mass of the host—where the distribution itself does *not* depend on stellar mass. AGNs are present in galaxies with a wide range of stellar masses, but those in more massive galaxies are simply more luminous. @Hainline12 and @Bongiorno12 have presented similar findings, extending the investigations to higher redshifts. Nevertheless, these results indicate that the overall distribution of the stellar masses of galaxies, traced by their stellar mass function, is a vital component in determining the distribution of observed AGN luminosities, traced by their luminosity function.

In this paper we develop a simple, 