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19-12-2022
Mathematics

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An electrical engineer is modeling the relationship between the potential (X) at a key location in a measuring instrumentâs circuitry, and the round-off error (Y) of the instrumentâs digital output. A theoretical model for the joint density of (X , Y ) isfX,Y (x , y) = 1.2x (1 â x 2 y2), 0 < x < 1 and â 1 < y < 1.Compute rhox,y , the correlation coefficient between X and Y . Are the random variables X and Y independent?

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