Cauchy Distribution Calculator

Use this calculator to find the probability density and cumulative probabilities for Cauchy distribution with parameter $a$ and $b$.

Cauchy Distribution Calculator
Location parameter $\mu$:
Scale parameter $\lambda$
Value of x
Results
Probability density : f(x)
Probability X less than x: P(X < x)
Probability X greater than x: P(X > x)

Cauchy Distribution

The probability density function of Cauchy distribution is

$$ \begin{aligned} f(x) &= \frac{\lambda}{\pi} \frac{1}{\lambda^2+(x-\mu)^2};\\ &\quad -\infty < x< \infty,\\ &\quad -\infty < \mu< \infty, \lambda>0. \end{aligned} $$

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