An urn contains 15 red balls, 10 black balls, and 25 white balls. 10 balls are drawn from the urn. The random variable X is defined as the number of black balls in the draw and Y as the number of white balls in the draw. 1) Calculate the joint density of X and Y. 2) Calculate the marginal density functions. 3) Calculate P[X = 4, Y = 6]. calculate the marginal density functions of the random vector.

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