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Q31Section I (Objective (Q1–Q80))31 of 80

Probability — singularity condition for a bivariate normal density

A bivariate normal random vector (X,Y)(X, Y) with V(X)=2V(X) = 2, V(Y)=3V(Y) = 3, Cov(X,Y)=α\mathrm{Cov}(X, Y) = \alpha does not possess a density function. Then

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