3 Choose a point uniformly at random from the set x y x 0 x...

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3 Choose a point uniformly at random from the set x y x 0 x y 1 Let X the the slope of the line through the chosen point and the origin Find the cumulative function of X then show that its PDF is given by f x 12 for 0 x o This is the density function of the Cauchy distribution 11

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