Chapter 3 - Geometric and negative binomial distribution

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Last updated 10:27 AM on 7/21/26
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17 Terms

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Geometric distribution definition

How many trials occur, each with the same probability, until the first success is seen
(e.g. how many times would we have to throw a dice until we get a six)

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When to use geometric distribution

Indefinite number of successive trials

Trials are independent of each other 

Two possible outcomes (success or failure)

Probability of success is constant

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p = probability

x = number of trials

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<p></p>


~ = the geometric distribution of X

p = probability

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<p>Geometric distribution</p>

Geometric distribution

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<p>Geometric distribution</p>

Geometric distribution

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Negative binomial distribution definition

The number of trials needed to reach a fixed number of successes

(e.g. how many times I roll a dice until I get my 4th six)

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When to use negative binomial distribution

Indefinite number of successive trials

Trials are independent of each other 

Two possible outcomes (success or failure)

Probability of success is constant

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<p></p>


x = number of trials

r = number of successes

p = probability of success

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<p></p>


~ = the negative binomial distribution of X

r = number of successes

p = probability of success

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<p>Negative binomial distribution</p>

Negative binomial distribution

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<p>Negative binomial distribution</p>

Negative binomial distribution