Marginal posterior distributions from Eq. (8) (left panel) and their ensuing cumulative distributions (right panel) for a standard deviation of the noise of σ_n = 5 Mx cm^-2 and different values of the observed magnetic flux density. The actual values of Φ_obs are indicated in the legend. Flat priors for f and μ are used. Each row shows the calculations for the different priors: (top) a log-normal prior with B₀ = 38 G and σ_b = 1.2, (middle) an exponential prior with B₀ = 130 G, and (bottom) an exponential prior with B₀ = 60 G.