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Q111Section III (Statistics)111 of 145

Read off σ12=4\sigma_1^2=4, σ22=1\sigma_2^2=1, ρ=0.8\rho=0.8 from the bivariate normal density

If the joint pdf of (X,Y)(X,Y) is f(x,y)=12.4πexp⁡{−10.72[x24−1.60xy2+y2]}f(x,y)=\frac1{2.4\pi}\exp\bigl\{-\frac1{0.72}\bigl[\frac{x^2}4-1.60\frac{xy}2+y^2\bigr]\bigr\} (the booklet prints the middle term as "1.60 Xy21.60\,\frac{X^y}2"), then the variance covariance matrix Σ\Sigma is:

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