Continuous Uniform Reference
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For a<=x<=b: f(x)=1/(b-a).
P(c<X<d)=overlap width/(b-a).
Mean=(a+b)/2.
Variance=(b-a)^2/12.
SD=(b-a)/sqrt(12).
Model gate: equal density must be defensible, not merely bounded support.

Original synthetic data generated for STATLAB Academy. No textbook data used.
Educational material for STATLAB Academy. Verify assumptions, units, tail direction, and rounding before making a decision.