Hi, if a problem gave you F(x) = x + 2, x > 0
Would you derive F(x) to get f(x) in order to solve for its mean and variance?
Thank you for your time.
"Given F(x)= x+ 2, x> 0" doesn't mean anything! What is F supposed to be? It can't be a probability function because it has values larger than 1 and it can't be a probability density because its integral has values larger than 1.
Sorry I wrote up an example function without really thinking.
How about this probability distribution function?
F(x) = 1 - x , x> 0