Given X∼Beta(α,β)X \sim \text{Beta}(\alpha, \beta)X∼Beta(α,β), for what values of α\alphaα and β\betaβ is the distribution symmetric about x=0.5x=0.5x=0.5?
α+β=1\alpha + \beta = 1α+β=1
α=β\alpha = \betaα=β
α=2β\alpha = 2\betaα=2β
α=1,β=1\alpha = 1, \beta = 1α=1,β=1