Question: The joint distribution of the continuous random variables X, Y, and Z is constant over the region (a) Determine P(X2 + Y2 < 0.5) (b)

The joint distribution of the continuous random variables X, Y, and Z is constant over the region
(a) Determine P(X2 + Y2 < 0.5)
(b) Determine P(X2 + Y2 < 0.5, Z < 2)
(c) What is the joint conditional probability density function of X and Y given that Z = 1?
(d) What is the marginal probability density function of X?

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