Bernoulli Distribution
The Bernoulli distribution is a discrete probability distribution that gives 1 with probability p and 0 with probability q = 1 - p.
Description
The distribution is appropriate for modeling any binary outcome.
The sum of repeated and independent Bernoulli-distributed events are described by the binomial distribution.
Statistics
The expected value is E[X] = p.
The variance is Var[X] = p(1 - p) = pq.
Usage
Sampling
If all frame listings have an equal probability of selection, sampling can be implemented like:
scalar p = .2 /* Probability of selection */ set seed 123456789 generate double r = runiform() generate sampled = (r < p)
The expected number of cases sampled is np; the sample size is described by the binomial distribution.