Cauchy Distribution Calculator

Use Cauchy 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)

How to use Cauchy Calculator?

Step 1 - Enter the location parameter

Step 2 - Enter the Scale parameter

Step 3 - Enter the Value

Step 4 - Click on Calculate button

Step 5 - Calculate Probability of Density

Step 6 - Calculate Probability X less than x

Step 7 - Calculate Probability X greater than x

Cauchy Distribution

The probability density function of Cauchy distribution is

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

Conclusion

I hope you find Cauchy distribution calculator helpful to calculate probability density. You can refer given below links for Cauchy distribution theory and step by step guide explanation with Cauchy Distribution Examples.

Read more about other Statistics Calculator on below links

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