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Binomial Distribution

Binomial probabilities P(X=k)

📊Binomial Distribution Calculator

The binomial distribution models the number of successes in n independent trials with fixed probability p per trial. P(X=k) = C(n,k) × pᵏ × (1−p)^(n−k). Mean = np; variance = np(1−p).

Fun Fact

The binomial distribution approaches the normal distribution as n increases — the Central Limit Theorem in action.

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