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What is the variance of a geometric distribution for a given pobability?

Answer 1

Jonathan Allen

variance #=(1-p)/p^2#

For example, a geometric with p=0.4 ...

mean #=1/p=1/0.4=2.5#

variance #=(1-p)/p^2=(1-0.4)/0.4^2=0.6/0.16=3.75#

s.d. #=sqrt(3.75)~~1.9365#

hope that helped

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Answer 2

Liam Burke

The variance of a geometric distribution for a given probability ( p ) is calculated using the formula:

[ \text{Var}(X) = \frac{1 - p}{p^2} ]

Where ( X ) is the random variable following a geometric distribution with parameter ( p ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.