Theoretical Bridge

Distribution Convergence

Explore the Central Limit Theorem and other convergence behaviors. Visualize how different distributions approximate the Normal distribution as parameters change.

Configuration

Transformation Type

Sample Size (n)30

Probability (p)0.3

Show Target Normal Distribution

Distribution overlap0%

Convergence: Good

Key Insights

As the number of trials n increases, binomial distribution approaches normal distribution

Rule of Thumb:

Good np ≥ 10 & n(1-p) ≥ 10
Fair np ≥ 5
Poor np < 5

Visual Transformation

Real-time convergence simulation

Current n

Convergence Status

Good

Distribution Overlap