Let X1,X2,⋯∼U(0,1)X_1,X_2,\dots \sim \unif{0}{1}X1,X2,⋯∼U(0,1) IID and Nx=min{n:X1+⋯+Xn>x}N_x = \min\{n : X_1 + \dots + X_n > x\}Nx=min{n:X1+⋯+Xn>x}. Find E[Nln(2)]\mathbb{E}\left[ N_{\ln(2)}\right]E[Nln(2)].
