fx.x(1, y)= ce-r-5y if r, y20 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 fYix=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 12ye-e-2y if z, y 20 Īxx(1, y) = - :- %3D otherwise (e) What is the probability P(Y² > 2X > 0) ?

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