PROBABILITY DISTRIBUTION

An interactive, visually-driven web application for exploring probability distributions.

Features

• 6 Core Distributions: Normal, Uniform, Bernoulli, Binomial, Poisson, Exponential
• Accurate Mathematics: Implements correct PDF/PMF, CDF, mean, and variance calculations
• Interactive Sliders: Real-time parameter manipulation with instant visual feedback
• Statistical Readouts: Live display of mean, variance, and peak values
• Neo-Brutalist Design: High-contrast, accessible interface with bold typography

Tech Stack

• Vanilla HTML5
• Vanilla CSS3
• Vanilla JavaScript (Canvas API)

Distributions Included

Continuous

1. Normal (Gaussian) - Bell curve for natural phenomena
2. Uniform - Equal probability across an interval
3. Exponential - Time between events

Discrete

4. Bernoulli - Single success/failure trial
5. Binomial - Number of successes in n trials
6. Poisson - Count of rare events

Accuracy

• Implements proper overflow handling for large factorials
• Uses logarithmic combinations for large binomial coefficients
• Includes Abramowitz-Stegun error function approximation for Normal CDF
• Auto-scales axes based on distribution parameters for optimal viewing

Deployment

Live at: https://prob-brut.vercel.app

Educational Use

Perfect for:

• Statistics courses
• Probability theory demonstrations
• Self-study and intuition building
• Teaching distribution properties