Central Limit Theorem Visualization

This applet visualizes the Central Limit Theorem. Let X = X_1 + ... + X_n, where X_k are i.i.d. random variables with mean μ and standard deviation σ. By adjusting the sample size n, you can observe how the sum's distribution converges to a normal distribution as n increases. It integrates binomial and normal distributions with integrals to demonstrate this core probability theorem.