7 Let X be a random variable with the density function f (x) 1 (1 x2) , x (X is called a Cauchy random variable ) Find the density function of Z arctan X

Question: 7. Let X be a random variable with the density function f (x) = 1 (1 + x2) , < x < . (X

7. Let X be a random variable with the density function f (x) = 1 π(1 + x2) , −∞ < x < ∞. (X is called a Cauchy random variable.) Find the density function of Z = arctan X.

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