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

Multivariate Analysis — fourth conditional moment of Y minus rho X

If (X,Y)∼BVN(0,0,1,1;ρ)(X, Y) \sim BVN(0, 0, 1, 1 ; \rho), then what is the value of E((Y−ρX)4∣X)(1−ρ2)2\frac{E((Y - \rho X)^{4} \mid X)}{(1 - \rho^{2})^{2}}?

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