Notes. The newly calculated Paper II model is obtained adopting g_ex = 6 and discarding a few events, whose only explanation placed the occulting clouds outside the model spatial region where clouds of the ensemble are supposed to be located. Here R₂/R_X ≡ (R_cloud)_max/R_X and, following our recalculation of Paper II model as described in the text, is the upper limit of cloud physical size size, normalised with the X-ray source radius R_X; n_ecl[10, R₂/R_X] represents the expected number of eclipses due to clouds with normalised physical radius f_cloud in the range [10, R₂/R_X] among those effectively detected for the source (N_ecl): for the sources with (f_cloud)_max ≡ R₂/R_X < 10, this quantity cannot be calculated of course; n_ecl[6, R₂/R_X] and $n_{\mathrm{ecl}}[4,R_2/R_{\mathrm{X}}]$ are similarly defined, only changing the lower limit of the normalised size range. References for log$\frac{M_{\mathrm{BH}}}{M_{\odot }}$ values are reported in the last column: (1) Ricci et al. (2017), (2) Bentz & Katz (2015), (3) Bentz et al. (2016), (4) Malizia et al. (2008), (5) Winter et al. (2010).