Question: 10. (10 pints, 5+5) Let random vector (X, Y ) have the following joint probability density function f (x, y) = 10* +cy if0 0,

10. (10 pints, 5+5) Let random vector (X, Y ) have the following joint probability density function f (x, y) = 10* +cy if0 0, y > 0; 0 otherwise. (1). Determine the constant c. (2). Are random variables X and Y independent? Why? (Without justifying why, the maximum points one may get is 2. )

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