Example Graph

The standard normal distribution has the probability density function 12πe−12x2\frac{1}{\sqrt{2 \pi}} e^{-\frac{1}{2} x^2}

The standard Cauchy distribution has probability density function 1π(x2+1)\frac{1}{\pi(x^2 + 1)}

plot

Example Graph

The standard normal distribution has the probability density function 12πe−12x2\frac{1}{\sqrt{2 \pi}} e^{-\frac{1}{2} x^2}

The standard Cauchy distribution has probability density function 1π(x2+1)\frac{1}{\pi(x^2 + 1)}

plot