Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Promoted
Cheech
Lv 6
What is the general formula for the variance of Y^2, [V(Y^2)]?
I know that V(Y) = E(Y^2) - [E(Y)]^2, but what is V(Y^2)?
1 Answer
Relevance
- UniversalistLv 78 years agoFavorite Answer
In general if g(Y) is a function of the random variable Y, then Var(g(Y)) = E[(g(Y) - E[g(Y)])^2]. So if g(Y) = Y^2 then Var(Y^2) = E[(Y^2 - E[Y^2])^2].
Remark. If g is differentiable, then the approximate formula Var(g(Y)) ~ (g'(E[Y]))^2 Var(Y) holds.
Source(s): Scroll down on http://www.wyzant.com/help/math/statistics_and_pro...
Still have questions? Get your answers by asking now.