For in GOD we live, and move, and have our being. - Acts 17:28

The Joy of a Teacher is the Success of his Students. - Samuel Dominic Chukwuemeka

Probability Distribution Calculators

Samuel Chukwuemeka teaching Statistics

I greet you this day,

You may use these calculators to check your answers. You are encouraged to solve the questions first, and check your answers. These topics are covered in my Notes and Videos on Probability Distributions. I wrote the codes for these calculators using Javascript, a client-side scripting language. Please use the latest Internet browsers. The calculators should work.
For some calculations, you may need to refresh your browser for each new calculation.
Comments, ideas, areas of improvement, questions, and constructive criticisms are welcome. You may contact me. Please be positive if you do.
Thank you for visiting!!!

Samuel Dominic Chukwuemeka

Samuel Chukwuemeka

(Samdom For Peace)

B.Eng., A.A.T, M.Ed., M.S





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Probability Distribution

Empirical Rule



Chebyshev's Theorem

  • Given: $\mu$, $\sigma$, $k$

    To Find: $P(x)$

Uniform Distribution

Uniform Distribution





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Binomial Probability Distribution

Binomial Probability Distribution





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Poisson Probability Distribution

Poisson Probability Distribution

Poisson Distribution to Approximate Binomial Distribution

When requirements are met: $n \ge 100$ and $np \le 10$

Poisson Distribution to Approximate Binomial Distribution

When requirements are met: $n \ge 100$ and $np \le 10$





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Normal Probability Distribution

Normal Probability Distribution

Normal Distribution to Approximate Binomial Distribution

When requirements are met: $np \ge 5$ and $nq \ge 5$

Normal Distribution to Approximate Binomial Distribution

When requirements are met: $np \ge 5$ and $nq \ge 5$





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Inverse Normal Distribution

Inverse Normal Distribution

Inverse Normal Distribution

Inverse Normal Distribution





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Central Limit Theorem

When requirements are met:
$n \gt 30$ or $N$ is normally distributed

Central Limit Theorem

When requirements are met:
$n \gt 30$ or $N$ is normally distributed





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