Problem 3 (p. 310 #6). Cauchy distribution. Suppose that a particle is fired from the origin n the (x, y) plane in a straight line at a random angle where is chosen uniformly from the nterval (-) Show that the random variable Y = y-coordinate of the intersection between the point and the vertical line = 1 has density fy (y) = This is called the Cauchy distribution. 1 π(1 + y²)*

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