Discrete Probability Calculator

A modern Java GUI application for computing discrete probability distributions with professional styling and comprehensive mathematical accuracy.

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Overview

This application provides an intuitive interface for calculating four fundamental discrete probability distributions commonly used in statistics and probability theory. Built with modern Java Swing components featuring a clean, card-based design.

Supported Distributions:

• Binomial Distribution
• Poisson Distribution
• Geometric Distribution
• Hypergeometric Distribution

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GUI Preview

Modern, clean interface showing the Binomial Distribution calculation with professional styling and comprehensive results display.

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Features

Mathematical Accuracy

• Probability Mass Function (PMF)
• Cumulative Distribution Function (CDF)
• Statistical measures (mean, variance, standard deviation)

Modern Interface

• Clean, card-based layout
• Dynamic parameter fields
• Professional color scheme
• Smart input validation

User Experience

• Real-time error handling
• Responsive design
• Comprehensive results formatting
• Cross-platform compatibility

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Quick Start

Prerequisites

• Java 8 or higher

Running the Application

Windows:

# Option 1: Using batch file (compiles and runs automatically)
./run.bat

# Option 2: Manual execution
java DiscreteDistributionCalculator

Linux/macOS:

./run.sh

Compilation

javac DiscreteDistributionCalculator.java

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Usage Examples

Binomial Distribution

n = 10 trials
p = 0.5 probability
k = 6 successes
→ P(X = 6) = 0.205078

Poisson Distribution

λ = 3.5 average rate
k = 5 events
→ P(X = 5) = 0.132378

Geometric Distribution

p = 0.167 probability
k = 4 trials
→ P(X = 4) = 0.096451

Hypergeometric Distribution

N = 52 population
K = 13 success states
n = 5 draws
k = 2 successes
→ P(X = 2) = 0.274405

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Technical Specifications

Language: Java
Framework: Swing with custom styling
Architecture: Single-class desktop application
File Size: ~50KB compiled
Memory Usage: <100MB typical operation

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Project Structure

├── DiscreteDistributionCalculator.java    # Source code
├── User_Guide.md                          # Documentation
├── run.bat                                # Windows launcher
├── run.sh                                 # Unix launcher
└── README.md                              # This file

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Mathematical Implementation

The application implements standard probability formulas:

Binomial PMF: C(n,k) × p^k × (1-p)^(n-k)
Poisson PMF: (λ^k × e^(-λ)) / k!
Geometric PMF: (1-p)^(k-1) × p
Hypergeometric PMF: [C(K,k) × C(N-K,n-k)] / C(N,n)

All calculations include proper input validation and error handling to ensure mathematical accuracy.

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Team Members

• Christian Oliver Obrero
• John Keano Del Rosario
• John Paul Caigas

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License

Open source under MIT License