Mathematical Science Statistics & Exploratory Data Analysis Random Variables & Distribution Functions
Let X be a discrete random variable with the support S = {-1, 0, 1} and \(P(X=0)=\frac{1}{3}\). Then which of the following statements are true?
1
\(E(X) \leq \frac{2}{3}\)
2
\(E\left(X^2\right)=\frac{2}{3}\)
3
\(E(|X|)=\frac{2}{3}\)
4
\({Var}(X)>\frac{2}{3}\)