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binomialDistribution -- binomial distribution

Description

The binomial distribution, the distribution of the number of successes in a sequence of n Bernoulli trials, where the probability of success is p.

i1 : X = binomialDistribution(10, 0.1)

o1 = B(10,.1)

o1 : DiscreteProbabilityDistribution
i2 : density_X 2

o2 = .1937102445000001

o2 : RR (of precision 53)
i3 : probability_X 3

o3 = .9872048016000059

o3 : RR (of precision 53)
i4 : quantile_X 0.4

o4 = 1
i5 : random X

o5 = 2

A special case is the Bernoulli distribution, where n is 1.

i6 : Y = bernoulliDistribution 0.1

o6 = B(1,.1)

o6 : DiscreteProbabilityDistribution

Ways to use binomialDistribution:

  • binomialDistribution(ZZ,Number)

For the programmer

The object binomialDistribution is a method function.


The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/Probability.m2:942:0.