Question: (6 points) A standard Cauchy random variable has density function 1 f(x)= = (1+x) -xxx. Show that if X is a standard Cauchy random

(6 points) A standard Cauchy random variable has density function 1 f(x)=

(6 points) A standard Cauchy random variable has density function 1 f(x)= = (1+x) -xxx. Show that if X is a standard Cauchy random variable, then 1/X is also a standard Cauchy random variable.

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