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Probability Distribution Calculator

Compute probabilities, cumulative probabilities, and quantiles for various probability distributions with detailed step-by-step solutions!

Probability Distribution Calculator
Compute Probability Distribution:

Try the following examples:

[Normal Distribution CDF Example] [Binomial Distribution PMF Example] [Poisson Distribution CDF Example] [Exponential Distribution Quantile Example] [Uniform Distribution PDF Example]
Distribution:
Calculation:
Parameter 1:
Parameter 2:
Value/Probability:

Embed Probability Distribution Calculator Widget

About Probability Distribution Calculator

Welcome to our Probability Distribution Calculator, a comprehensive tool designed to compute probabilities, cumulative probabilities, and quantiles for various probability distributions with detailed step-by-step solutions. This calculator is ideal for students, teachers, and anyone working with probability and statistics.

Features of the Probability Distribution Calculator

Understanding Probability Distributions

Probability distributions describe how probabilities are distributed over the values of a random variable. Below are the formulas and comparisons for each supported distribution.

Normal Distribution

The Normal distribution is a continuous probability distribution characterized by its mean \( \mu \) and standard deviation \( \sigma \).

Binomial Distribution

The Binomial distribution is a discrete probability distribution representing the number of successes in \( n \) independent Bernoulli trials with probability \( p \) of success.

Poisson Distribution

The Poisson distribution is a discrete probability distribution expressing the probability of a given number of events occurring in a fixed interval of time or space.

Exponential Distribution

The Exponential distribution is a continuous probability distribution commonly used to model the time between independent events that happen at a constant average rate.

Uniform Distribution

The Uniform distribution is a continuous probability distribution where all intervals of the same length are equally probable within the interval \( [a, b] \).

Comparisons and Applications

Each distribution serves different purposes and models different types of data:

How to Use the Probability Distribution Calculator

Additional Resources

Reference this content, page, or tool as:

"Probability Distribution Calculator" at https://MiniWebtool.com/probability-distribution-calculator/ from MiniWebtool, https://MiniWebtool.com/

by miniwebtool team. Updated: Nov 22, 2024

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