Question

Could I specify different filling colors for within a single plot like the bellow or would I need to “Show” several Plots ? Let`s say I would like the filling style to be the same as the PlotStyle.

priorMean = 50;
priorVar = 100;

llhMean = 30;
llhVar = 40;

postMean=35.71;
postVar=28.57;


Plot[
     Evaluate@MapThread[
     Function[{\[Mu], \[Sigma]},
     PDF[NormalDistribution[\[Mu], Sqrt[\[Sigma]]], x]],
     {{priorMean, llhMean, postMean}, {priorVar, llhVar, postVar}}],
{x, 0, 100}, Filling -> Axis, PlotStyle -> {Red, Green, Blue}]

Answer 1

You’ll need to use FillingStyle to fill in. I think you got stuck in the syntax for FillingStyle, which is not the same as that for PlotStyle, although you’d expect it to be. You’ll have to assign a color for each curve as FillingStyle -> {1 -> color1, 2 -> color2}, etc. Here’s an example:

colors = {Red, Green, Blue};
Plot[Evaluate@
  MapThread[
   Function[{\[Mu], \[Sigma]}, 
    PDF[NormalDistribution[\[Mu], Sqrt[\[Sigma]]], x]], {{priorMean, 
     llhMean, postMean}, {priorVar, llhVar, postVar}}], {x, 0, 100}, 
 Filling -> Axis, PlotStyle -> colors, 
 FillingStyle -> 
  MapIndexed[#2 -> Directive[Opacity[0.3], #] &, colors]]