Given T,the proportions (X₁/T,…,X_n/T) are uniform on the simplex,Dirichlet(1,…,1). For their minimum U,P(U>u)=(1−nu)^(n−1),0<u<1/n. Its mean is ∫₀^(1/n)(1−nu)^(n−1)du=1/n². Multiplying by T gives **A**.
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