Let X and Y be two continuous random variables with the joint density function f(x,y) = {x – 2y, 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1 0, elsewhere (a) Are the random variables X and Y independent? Justify your answer. (b) Compute the numerical value of P(Y ≥ 1, X ≤ ¹).

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