All-flavor neutrino flux expected from the entire sample (solid black curve), separated into FSRQs (solid purple curve) and BL Lacs (solid green curve). Following the sampling method described in the main text, we then extrapolate the result to the entire Fermi-LAT blazar sample and obtain the diffuse spectrum shown as a dotted curve. For visual reference, the individual contributions are represented as thin curves (see also Table B.1). The black data points show IceCube data from the analysis by Aartsen et al. (2015a) and the blue curve shows the 9 yr IceCube sensitivity (Aartsen et al. 2018). In pink, we show the stacking limits derived for blazars by Aartsen et al. (2017b).