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In: Statistics and Probability

X is an independent standard uniform random variable X ∼ Uniform(0, 1) Y is an independent...

X is an independent standard uniform random variable X ∼ Uniform(0, 1)

Y is an independent standard uniform random variable Y ∼ Uniform(0, 1)

U = min(X, Y )

V = max(X, Y )

Find the correlation coefficient of V and U , ρ(U, V) = Correlation(U, V).

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