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probFunCal

probFunCal: A webpage calculator for probability distribution functions

By W. J. Zhang



The user manual guide and suggested citation of this page:
Zhang W. J. 2026. probFunCal: A webpage calculator for probability distribution functions. Selforganizology, 13(1-2): 1-25
Also, click here to download the corresponding offline calculator.


Normal Distribution: Density Function
Mean (μ):

Standard deviation (σ):

Random variable (x):



Probability density f(x):


User manual guide:
Zhang W. J. 2026. probFunCal: A webpage calculator for probability distribution functions. Selforganizology, 13(1-2): 1-25

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Standard Normal Distribution: Cumulative Distribution Function
Standard random variable (x):



Cumulative distribution (probability p) ∫f(x)dx:


User manual guide:
Zhang W. J. 2026. probFunCal: A webpage calculator for probability distribution functions. Selforganizology, 13(1-2): 1-25

   Back to Top   


Standard Normal Distribution: Inverse Cumulative Distribution Function
Probability (p):



Inverse cumulative distribution (x):


User manual guide:
Zhang W. J. 2026. probFunCal: A webpage calculator for probability distribution functions. Selforganizology, 13(1-2): 1-25

   Back to Top   


t Distribution: Density Function
Degree of freedom (n):

Random variable (x):



Probability density f(x):


User manual guide:
Zhang W. J. 2026. probFunCal: A webpage calculator for probability distribution functions. Selforganizology, 13(1-2): 1-25

   Back to Top   


t Distribution: Cumulative Distribution Function
Degree of freedom (n):

Random variable (x):



Cumulative distribution (probability p) ∫f(x)dx:


User manual guide:
Zhang W. J. 2026. probFunCal: A webpage calculator for probability distribution functions. Selforganizology, 13(1-2): 1-25

   Back to Top   


t Distribution: Inverse Cumulative Distribution Function
Degree of freedom (n):

Probability (p):



Inverse cumulative distribution (x):


User manual guide:
Zhang W. J. 2026. probFunCal: A webpage calculator for probability distribution functions. Selforganizology, 13(1-2): 1-25

   Back to Top   


χ2 Distribution: Density Function
Degree of freedom (n):

Random variable (x):



Probability density f(x):


User manual guide:
Zhang W. J. 2026. probFunCal: A webpage calculator for probability distribution functions. Selforganizology, 13(1-2): 1-25

   Back to Top   


χ2 Distribution: Cumulative Distribution Function
Degree of freedom (n):

Random variable (x):



Cumulative distribution (probability p) ∫f(x)dx:


User manual guide:
Zhang W. J. 2026. probFunCal: A webpage calculator for probability distribution functions. Selforganizology, 13(1-2): 1-25

   Back to Top   


χ2 Distribution: Inverse Cumulative Distribution Function
Degree of freedom (n):

Probability (p):



Inverse cumulative distribution (x):


User manual guide:
Zhang W. J. 2026. probFunCal: A webpage calculator for probability distribution functions. Selforganizology, 13(1-2): 1-25

   Back to Top   


F Distribution: Density Function
1st degree of freedom (m):

2nd degree of freedom (n):

Random variable (x):



Probability density f(x):


User manual guide:
Zhang W. J. 2026. probFunCal: A webpage calculator for probability distribution functions. Selforganizology, 13(1-2): 1-25

   Back to Top   


F Distribution: Cumulative Distribution Function
1st degree of freedom (m):

2nd degree of freedom (n):

Random variable (x):



Cumulative distribution (probability p) ∫f(x)dx:


User manual guide:
Zhang W. J. 2026. probFunCal: A webpage calculator for probability distribution functions. Selforganizology, 13(1-2): 1-25

   Back to Top   


F Distribution: Inverse Cumulative Distribution Function
1st degree of freedom (m):

2nd degree of freedom (n):

Probability (p):



Inverse cumulative distribution (x):


User manual guide:
Zhang W. J. 2026. probFunCal: A webpage calculator for probability distribution functions. Selforganizology, 13(1-2): 1-25

   Back to Top   


Copyright © 2025 - W. J. Zhang(E-mail: wjzhang@iaees.org)
International Academy of Ecology and Environmental Sciences. E-mail: office@iaees.org
Copyright © 2009-2024. International Academy of Ecology and Environmental Sciences. All rights reserved.
Web administrator: office@iaees.org, website@iaees.org;


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