Question: A standard Cauchy random variable has density function 1 over [pi*(3+x^-e)] with x taking on any value between negative inf and positive inf. Show that

A standard Cauchy random variable has density function 1 over [pi*(3+x^-e)] with x taking on any value between negative inf and positive inf. Show that if X is a standard Cauchy random variable, then 1/X is also a standard Cauchy random variable

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