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Let X and Y be jointly gaussian variables with zero mean, variance (X)= 2 and variance (Y)=4, and normalized correlation coefficient between X and Y

Let X and Y be jointly gaussian variables with zero mean, variance (X)= 2 and variance (Y)=4, and normalized correlation coefficient between X and Y = 0.5

(a) Find the pdf of X|Y=1

(b) Let Z=2X+Y+2 Find E[Z|Y=1]

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