Let X∼Beta(α,β)X \sim \text{Beta}(\alpha, \beta)X∼Beta(α,β). What is the variance of XXX?
\frac{\alpha\beta}{(\alpha+\beta)^2(\alpha+\beta+1)}
\frac{\alpha+\beta}{\alpha\beta}
\frac{\alpha\beta}{\alpha+\beta}
\frac{1}{\alpha+\beta}