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BernoulliDistribution

BernoulliDistribution[p]
represents a Bernoulli distribution with probability parameter p.
  • Bernoulli distribution gives value x=1 with probability p, and x=0 with probability 1-p.  »
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Basic Examples   (2)
Mean and variance of a Bernoulli distribution:
Probability density function:
Mean and variance of a Bernoulli distribution:
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Probability density function:
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Scope   (4)
Generate a set of pseudorandom numbers that are Bernoulli distributed:
Properties based on higher-order moments:
Second moment of a Bernoulli distribution:
The q^(th) quantile of a Bernoulli distribution:
Applications   (1)
Simulate a sequence of fair coin tosses:
Properties & Relations   (3)
The probability of getting anything other than zero and one is zero:
Every moment of a Bernoulli random variable is p:
BernoulliDistribution is equivalent to BinomialDistribution of one trial:
Possible Issues   (2)
BernoulliDistribution is not defined when p is not between zero and one:
Substitution of invalid parameters into symbolic outputs gives results that are not meaningful:
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