Question: Shade area under a normal curve.

I can not manage to figure out how to shade specfic regions under a normal curve. For example:

with(Statistics): X:=RandomVariable(Normal(0,1)): DensityPlot(X, range= -3..3)

I want to shade a region greater than or less than some X value.

Similarly, I would like to add a vertical line for some X value.

 

Thanks,

Rob White

 

 

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