QUESTION 1 1 +x x 1. Find the pdf of the random vector (R,T a) Suppose (X, Y) has the pdf f (x, y) = Rcos (T) Y Rsin(T) which is (X, Y) expressed in polar coordinates, that is, X = 1 Let X follow the Cauchy distribution with the pdf fx(x) 1 b) Find the pdf of 1/X E R. 12

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