Random Variables & Probability Distributions

A comprehensive calculator for probability theory concepts, from basic probability to advanced distributions.

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Key Features

Step-by-Step Calculators

Get detailed solutions for probability problems with step-by-step calculations and explanations.

Graphical Visualization

Visualize probability distributions with interactive graphs for PMF, PDF, and CDF functions.

Random Variable Simulation

Generate random samples from probability distributions and visualize the outcomes.

Theory & Examples

Learn probability concepts with concise theory explanations and worked examples.

Practice Problems

Test your understanding with practice problems ranging from basic to advanced difficulty.

Interactive Learning

Engage with interactive demonstrations of key probability concepts and theorems.

Probability Calculators

Basic Probability

  • Sample Space & Events
  • Conditional Probability
  • Bayes' Theorem
  • Independence Tests
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Random Variables

  • PMF/PDF Calculator
  • CDF Calculator
  • Expected Value
  • Variance & Standard Deviation
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Discrete Distributions

  • Bernoulli Distribution
  • Binomial Distribution
  • Geometric Distribution
  • Poisson Distribution
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Continuous Distributions

  • Uniform Distribution
  • Normal Distribution
  • Exponential Distribution
  • Gamma Distribution
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Multivariate Distributions

  • Joint Distributions
  • Marginal Distributions
  • Conditional Distributions
  • Independence Tests
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Advanced Topics

  • Central Limit Theorem
  • Law of Large Numbers
  • Order Statistics
  • Entropy & Information Theory
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About This Project

A comprehensive probability calculator designed to help students, educators, and professionals solve probability problems quickly and accurately.

This project aims to provide an accessible resource for learning probability theory concepts and applying them to real-world problems. Whether you're a student studying for an exam or a professional analyzing data, these calculators will help you understand and apply probability theory effectively.

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Janith Deshan

Creator & Developer

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