Let T,X1,X2,⋯∼Beta(12,8)T, X_1,X_2,\dots \sim \text{Beta}(12,8)T,X1,X2,⋯∼Beta(12,8) IID. Then, let N=min{n∈N:Xn>T}N = \text{min}\{n \in \mathbb{N} : X_n > T\}N=min{n∈N:Xn>T}. Find E[N]\mathbb{E}[N]E[N]. If this is not finite, enter −1-1−1.
