Sampled 1D marginal posterior cdfs of model II parameters for synthetic planet cases (A−D) of 7 M_⊕ that vary in terms of radii: 1.7 R_⊕ (A), 2.2 R_⊕ (B), 2.6 R_⊕ (C), 2.9 R_⊕ (D); 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. Depending on the case, the upper prior bound in c) differs, which is indicated by the vertical colored lines corresponding to the respective case.