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.