The coordinates of a random point in the plane obey the normal distribution law f(x, y) = 2m0₂0₂ VI-² - [(x − x)² __ 2r(x − x)(x − ỹ) + 0 =D²]}. exp{-2(1 - 75) [(* 18² x 010₂ Determine (a) the probability density of the coordinates X and Y, (b) the conditional densities f(y|x) and f(x|y), (c) the conditional expectations, (d) the conditional variances.

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