BernoulliDistribution(p)
returns the Bernoulli distribution.
See:
The probability density function of the Bernoulli distribution is
>> PDF(BernoulliDistribution(p), x)
Piecewise({{1-p,x==0},{p,x==1}},0)
The cumulative distribution function of the Bernoulli distribution is
>> CDF(BernoulliDistribution(p), x)
Piecewise({{0,x<0},{1-p,0<=x&&x<1}},1)
The mean of the Bernoulli distribution is
>> Mean(BernoulliDistribution(p))
p
The standard deviation of the Bernoulli distribution is
>> StandardDeviation(BernoulliDistribution(p))
Sqrt((1-p)*p)
The variance of the Bernoulli distribution is
>> Variance(BernoulliDistribution(p))
(1-p)*p
The random variates of a Bernoulli distribution can be generated with function RandomVariate
>> RandomVariate(BernoulliDistribution(0.25), 10^1)
{1,0,0,0,1,1,0,0,0,0}
CDF, Mean, Median, PDF, Quantile, StandardDeviation, Variance
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