Geometric Distribution
Description
The Geometric Distribution models the probability of $k$ Bernoulli trials needed to get the first success when the probability of success is $p$. So the probability is
(1)\begin{equation} P(k) = (1-p)^{k-1} p \end{equation}
The following sage cell gives the probability when $k=5$ and $p=.5$.
Sage Cell
Code
k = 5
p = .5
P = (1-p)^(k-1) * p
P
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Date: 16 Oct 2018 15:47
Submitted by: James A Phillips