A lot has been said about importance of normal distributions in nature. A lot of measurements like height or weight are distributed approximately normal. But none of them are exactly normal, as far as I understand.
Considering normal distribution is one of the maximum entropy distributions, it seems plausible that nature should "like it". But after some thinking I couldn't come up with any examples of "really" normal random variables.
My question is what good examples of exactly normally distributed random variables out there?