The Bernoulli Distribution

gsl_ran_bernoulli(p)

This function returns either 0 or 1, the result of a Bernoulli trial with probability p. The probability distribution for a Bernoulli trial is,

\[\begin{split}p(0) = 1 - p \\ p(1) = p\end{split}\]

gsl_ran_bernoulli_pdf(k, p)

This function computes the probability \(p(k)\) of obtaining \(k\) from a Bernoulli distribution with probability parameter p, using the formula given above.

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The Poisson Distribution

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The Binomial Distribution