Question: The probability density function for the standard Cauchy distribution is (p(x)=frac{1}{pileft(1+x^{2} ight)}) (a) What is the probability distribution function for the Cauchy distribution? (b) What

The probability density function for the standard Cauchy distribution is

\(p(x)=\frac{1}{\pi\left(1+x^{2}\right)}\)

(a) What is the probability distribution function for the Cauchy distribution?

(b) What is the mean of the Cauchy distribution?

(c) What is the mean square value of the Cauchy distribution?

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