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SOLVED:The joint distribution of the continuous random variables X, Y, and Z is constant over the region x^2 y^2 ≤1 0 < z < 4. Determine the following: (a) P(X^2 Y^2 ≤0.5) (b) P(X^2 Y^2 ≤0.5, Z < 2) (c) Joint conditional probability density function of X and Y given that Z=1 (d) Marginal probability density function of X (e) Conditional mean of Z given that X=0 and Y=0 (f) Conditional mean of Z given that X=x and Y=y
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