Suppose that the random variable X has density fx (x) = for 0 < x < 2 (and equals O otherwise), and suppose that the random variable Y has density fy (y) = 4y° for 0 < y < 1 (and equals O otherwise). Also, suppose that the variables X and Y are independent. Determine P(2Y > X).

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A: The joint density function is given below:

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A: The joint density function of X and Y is

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A: Answer: Stochastically Independent.

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