The coordinates of a random point in the plane obey the normal distribution law f(x, y) = 1 2πσισ,V1 - 1 xp{-211 2r(x - x)(y- ÿ) (y - y)²] 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. x exp - [(x − x)² r2) 0²2 -

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