Binomial → Normal: The Central Limit Theorem in Action
n=10, p=0.5: converging to bell
Parameters
n (trials)
10
p (probability)
0.50
Distribution Stats
μ = 5.0
σ = 1.58
σ² = 2.50
✓
Normal approx valid
np=5 ≥ 10 ✗
Bin(n,p) histogram
Normal PDF overlay
Click any bar
to see exact P(X=k).
Rule: np≥10 AND n(1-p)≥10 for normal approximation.