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Sahithyan's S3
Sahithyan's S3 — Applied Statistics

Geometric Distribution

A special case of the negative binomial distribution, where r=1r=1. Denoted by g∗(x;p)g^*(x;p). Memoryless.

P(x)=p(1−p)x−1P(x) = p(1-p)^{x-1}

Here:

  • pp - probability of success in a single trial

Mean

μX=1p\mu_X = \frac{1}{p}

Variance

Vx=1−pp2V_x = \frac{1-p}{p^2}