Question: Students have to randomly select a point inside a circular region with radius R. One of them first samples the direction from the center of

Students have to randomly select a point inside a circular region with radius R. One of them first samples the direction from the center of the region according to a uniform distribution on [0◦, 360◦], and then samples the distance from the center according to U[0, R]. Find: (i) The density f(x, y) of the chosen points in (x, y) coordinates. (ii)

The marginal distribution of X.

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