I'm new here - was hoping for some help with a simple (?) problem.
If 'x' is a uniform random variable with mean 'y' (i.e. y = <x>) and 'a' is a constant, what is <exp(-a*x)>?
Can this quantity be related to <x>?
I've also learned that the particular case I was considering ( exp(-a*<x>) greater than <exp(-a*x)>) falls into a larger set of relations referred to as Jensen's Inequality.
Lots to learn...can't believe I never grok'd this as a Physics major.