The geometric distribution
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The geometric distribution describes the probability of successes
in a sequence of independent experiments each with likelihood of success of that
arise before there is 1 failure. It is a special case of the negative
binomial distribution.
Note: different texts adopt slightly different definitions,
e.g. it may be the total number of trials (i.e. 1 more than the above) in which
case it may be called the shifted geometric distribution and/or may
denote the probability of failure rather than the probability of success.
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