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
- Descriptive Statistics Calculators
- Hypothesis Testing Calculators
- Probability Distribution
- Confidence Interval Calculators
- Correlation Regression Calculators
- Probability Theory Calculators
- Sample Size and Power Calculators
