ABSTRACT
PX {PX [L(X) ≤ X ≤ U(X)] ≥ p|X} = PX {FX(U(X))− FX(L(X)) ≥ p} = 1− α.
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PX {PX [L(X) ≤ X ≤ U(X)] ≥ p|X} = PX {FX(U(X))− FX(L(X)) ≥ p} = 1− α.