Let X∼Beta(α,β)X \sim \text{Beta}(\alpha, \beta)X∼Beta(α,β) with α=2,β=2\alpha = 2, \beta = 2α=2,β=2. What is E[X]E[X]E[X]?
12\frac{1}{2}21
13\frac{1}{3}31
23\frac{2}{3}32
34\frac{3}{4}43