Let a be the subset of the plane r2 defined as the

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Let A be the subset of the plane R2 defined as the intersection of the first quadrant and the annulus between the circles of radii 1 and 2 centered at the origin. In other words

A = {(x, y) | x ? 0, y ? 0, 1 ? x2 + y2 ? 4}.
Let (X, Y ) be a uniformly chosen point in the region A.

Find the marginal density (PDF) and the expected value of the first coordinate X.

Reference no: EM13616877

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