In the examples we have seen that the quotient X/Y of two independent standard normal random variables has a standard Cauchy distribution. Since Z = X/Y , the random variable 1/Z = Y /X. This is also...

In the examples we have seen that the quotient X/Y of two independent standard normal random variables has a standard Cauchy distribution. Since Z = X/Y , the random variable 1/Z = Y /X. This is also the quotient of two independent standard normal random variables, and it has a standard Cauchy distribution.