Question 1 function given by Suppose that X and Y have a joint probability density ce-3r-5y if a, y 20 fx.x(x, y) = otherwise Wbatermine Deter the value of the normalization constant c. Find the marginal probability density function fx and state the name of the distribution of X. Y Find the conditional probability density function fyjx=z- (Y Are the random variables X and Y statistically independent? Justify your answer.

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