function given by ce-3r-5y if r, y20 fx.x(1, y) = %3D otherwise (a) Determine the value of the normalization constant c. (b) Find the marginal probability density function fx and state the name of the distribution of X. (c) Find the conditional probability density function fy[x=z- (d) Are the random variables X and Y statistically independent? Justify your answer. Consider now a different joint probability density function for X and Y, namely Îxx(1, v) = { J12 ye-- -3z-2y if z, y 20 %3D otherwise (e) What is the probability P(Y² > 2X > 0) ?

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