I have the following function L:
σ = 9; L[s_, d_] = (1/(σ*Sqrt[2*\[Pi]]))*E^(-(1/2)*((s-(-50-11*Log[d]))/σ)^2)
This function L describes basically for some specific d, the distribution of the random variable s. Therefore, for some fixed d value, the L[s] has the properties of a PDF. What I would like to do is find another function R[s_, d_] that does the opposite. That means, that for a fixed s value, the R[d] is the normalization version (normalized between [dmin, dmax]) of the corresponding L[d].
Any idea if this is even possible? Thank you for your time