A binomial experiment with n trials, probability of success p, and x successes, has Binomial Probability: $$P(X = x) = _nC_x * p^x * (1 - p)^{n - x}$$ Where "n choose x" is: $$(_nC_x) = \frac{n!}{x! (n - x)!}$$ Mean: $$ \mu = n * p$$ Variance: $$ \sigma = n * p * (1-p)$$ Standard Deviation: $$ \sigma^2 = \sqrt{n * p * (1-p)}$$
Binomial Experiments must have:
p must be between 0 and 1, n and x must be positive integers where n ≥ x
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