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Competitive Stats
Q10Section I (Objective (Q1–Q80))10 of 79

Distribution Theory — calibrating a ratio to a standard Cauchy law

If

λ(X3+X4+X5+X6+X7X1+X2)∼Cauchy(0,1) distribution\lambda\left(\frac{X_3+X_4+X_5+X_6+X_7}{X_1+X_2}\right) \sim \text{Cauchy}(0,1) \text{ distribution}

then what is the value of 5λ25\lambda^2?

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