Probability Calculator
Computes the integrals and inverse integrals for various continuous distributions, including normal, Student t, F, Chi-square, etc. Plots of distribution functions can also be requested.
Normal
| Element Name | Description |
|---|---|
| Normal distribution | Calculate probability for Normal distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| Two-tailed test | Select this option to specify a two-tailed test. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value z | Specifies the (critical) z value for the computations. |
| p-value | Specifies p-value for computations. |
| Mean | Specifies value for the mean. |
| Standard deviation | Specifies value for standard deviation. |
Beta
| Element Name | Description |
|---|---|
| Beta distribution | Calculate probability for Beta distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| Shape 1, v | shape 1, v |
| Shape 2, w | Shape2, w |
Cauchy
| Element Name | Description |
|---|---|
| Cauchy distribution | Calculate probability for Cauchy distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate Value for the respective distribution. |
| Two-tailed test | Select this option to specify a two-tailed test. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| Location parameter | Specifies value of location parameter for computations. |
| Scale parameter | Specifies value of scale parameter for computations. |
Chi-square
| Element Name | Description |
|---|---|
| Chi-square distribution | Calculate probability for Chi Square distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| df | Degrees of freedom |
Exponential
| Element Name | Description |
|---|---|
| Exponential distribution | Calculate probability for Exponential distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| Lambda | Specifies the value for parameter Lambda. |
Extreme
| Element Name | Description |
|---|---|
| Extreme Value distribution | Calculate probability for Extreme value distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| Location parameter | Specifies value of location parameter for computations. |
| Scale parameter | Specifies value of scale parameter for computations. |
F
| Element Name | Description |
|---|---|
| F (Fisher) distribution | Calculate probability for F (Fisher) distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| df1 | Degree of freedom 1 |
| df2 | Degree of freedom 2 |
Gamma
| Element Name | Description |
|---|---|
| Gamma distribution | Calculate probability for Gamma distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| shape | Specifies the shape parameter for computations. |
Laplace
| Element Name | Description |
|---|---|
| Laplace distribution | Calculate probability for Laplace distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| Two-tailed test | Select this option to specify a two-tailed test. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| Location parameter | Specifies value of location parameter for computations. |
| Scale parameter | Specifies value of scale parameter for computations. |
Log-Normal
| Element Name | Description |
|---|---|
| Log-Normal distribution | Calculate probability for Log-Normal distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| Mu | Specifies value for parameter Mu for computations. |
| Sigma | Specifies value for parameter Sigma for computations. |
Logistic
| Element Name | Description |
|---|---|
| Logistic distribution | Calculate probability for Logistic distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| Two-tailed test | Select this option to specify a two-tailed test. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| Location parameter | Specifies value of location parameter for computations. |
| Scale parameter | Specifies value of scale parameter for computations. |
Pareto
| Element Name | Description |
|---|---|
| Pareto distribution | Calculate probability for Pareto distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| shape | Shape |
Rayleigh
| Element Name | Description |
|---|---|
| Rayleigh distribution | Calculate probability for Rayleigh distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| Scale parameter | Specifies value of scale parameter for computations. |
Student's t
| Element Name | Description |
|---|---|
| t (Student) distribution | Calculate probability for t (Student) distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| Two-tailed test | Select this option to specify a two-tailed test. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| df | Degrees of freedom. |
Weibull
| Element Name | Description |
|---|---|
| Weibull distribution | Calculate probability for Weibull distribution. |
| Inverse | Creates the inverse of the integral; specify a desired p-value (e.g., significance level) to compute the critical variate value for the respective distribution. |
| 1 - Cumulative p | Set this option to True to compute the (critical) variate value for the specified distribution based on a 1-cumulative-p value, or the 1-cumulative-p value based on a specified (critical) variate value. |
| Plots density function | Plots the probability density function. |
| Plots distribution function | Plots the distribution function. |
| Variate value x | Specifies the (critical) variate value for the computations. |
| p-value | Specifies p-value for computations. |
| shape | Shape |
| Scale parameter | Specifies value of scale parameter for computations. |
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