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Consider the square in the plane consisting of all (x, y) such that 1 x 1 and 1 y 1, and let Q be a
Consider the square in the plane consisting of all (x, y) such that 1 x 1 and 1 y 1, and let Q be a point chosen uniformly at random inside the square. Let X be the distance from Q to (0, 0).
1. Calculate P (X > 1).
2. Calculate P (X < 0.5).
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