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Let P = (X1, X2) be a randomly selected point in the unit square [0, 1]...

Let P = (X1, X2) be a randomly selected point in the unit square [0, 1] 2. Let

X = min(X1, X2), Y = max(X1, X2)


(a) Find the c.d.f Fx and the density function fx, of the random variable X.

(b) Find the probability P (Y − X ≤ 1/2).

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