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BinomialDistribution

Binomial probability distribution.

$ wo 'BinomialDistribution[n, p]'
BinomialDistribution[n, p]

The mean of n trials with success probability p is n*p; the variance is n*(1 - p)*p:

$ wo 'Mean[BinomialDistribution[n, p]]'
n*p

$ wo 'Variance[BinomialDistribution[n, p]]'
n*(1 - p)*p

Concrete parameters collapse to exact numbers:

$ wo 'Mean[BinomialDistribution[10, 1/2]]'
5

$ wo 'Variance[BinomialDistribution[10, 1/2]]'
5/2