Apps
Interactive simulations and data science tools.
Binomial Flips Flip coins and watch a binomial distribution build up. Coin Simulator Run repeated coin-flip trials with your own weight, goal, and trial count. Bayes Theorem Paint events on a sample space grid and watch Bayes' rule update live. Joint PMF Explorer Combine marginal distributions for X and Y and visualize the joint PMF. Markov Inequality Compare the Markov bound against real tail probabilities. Chebyshev Inequality Compare the Chebyshev bound against real tail probabilities. Jensen's Inequality Reshape a convex function and compare Ο(E[X]) to E[Ο(X)] directly.