Question: 4. Let the continuous RV X have Cauchy distribution fx (x) = _- 1+2 2 . (a) Compute the cumulative distribution function Fx(x). Hint: What

4. Let the continuous RV X have Cauchy distribution fx (x)

4. Let the continuous RV X have Cauchy distribution fx (x) = _- 1+2 2 . (a) Compute the cumulative distribution function Fx(x). Hint: What is the deriva- tive of arctan(x)? (b) Check that S fx(x)dx = 1

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