I know for discrete random variables Σ P(x).x = <x>
Translating for continuous random variables
I'm also aware of the result ∫ P(x).x dx
In my lecture notes ( I more or less transcribed from what the lecturer said ):
∫ P(x).x^2 dx = <x^2> , should it not be ∫ P(x^2).x^2 dx = <x^2>?
Does...