Question: An experiment consists of selecting a point from the interior of the unit circle, x2 + y2 <1. (a) What fraction of the points in

An experiment consists of selecting a point from the interior of the unit circle, x2 + y2 <1.
(a) What fraction of the points in the space satisfy x > 1/2?
(b) What fraction of the points in the space satisfies x2 + y2 > 1/2?
(c) What fraction of the points in the space satisfy x + y > 1/2?
(d) What fraction of the points in the space satisfy x + y = 1/2?

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