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Geometric distribution summary

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A breif overview on the geometric distribution

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August 23, 2022
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Written in
2022/2023
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What is a Geometric Distribution?
The geometric distribution is a discrete probability distribution that
calculates the probability of the first success occurring during a specific
number of trial.


In other words, during a series of attempts, what is the probability of
success first occurring during each attempt?


Use this distribution when you need to understand how many attempts
are necessary to produce the first successful outcome.




 Let Y = number of trials until the first success is observed.

 Two outcomes to the experiment, one a success and one a failure.

 Independent and identical trials (With replacement)

 θ denotes the probability of a success and (1- θ) denotes the probability of
a failure for every trial.1
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