Let X∼Beta(α,β)X \sim \text{Beta}(\alpha, \beta)X∼Beta(α,β). For what values of α\alphaα and eta is the distribution symmetric about 0.50.50.5?
α=β\alpha = \betaα=β
α=1,β=1\alpha = 1, \beta = 1α=1,β=1
α=0.5,β=0.5\alpha = 0.5, \beta = 0.5α=0.5,β=0.5
α=2β\alpha = 2\betaα=2β