Sampled 1D marginal posterior cdfs of model II parameters for synthetic planet cases B, E, F, G that vary in terms of data uncertainties. B is the reference case (σ_M = 0.05 M, σ_R = 0.02 R, 20% for both σ_Fe/Sibulk and σ_Mg/Sibulk), E has larger uncertainties in mass and radius (σ_M = 0.2 M, σ_R = 0.1 R), whereas F and G have larger uncertainties in the abundance constraints, 50% and 80%, respectively. a) Pressure at bottom of atmosphere p_batm; b) atmospheric mean molecular weight μ; c) temperature-related parameter α; d) number of scale-heights of opaque layers N; e) mass of water m_water; f) mantle radius r_mantle; g) core radius r_core; h) Fe/Si_mantle; i) Mg/Si_mantle. The priors in h) and i) are not shown as not to overload the plot, because they differ among the cases.