Geometric Distribution

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

P(x) = p(1-p)^{x-1}

Here:

$p$: probability of success in a single trial

Mean

\mu_X = \frac{1}{p}

Variance

V_x = \frac{1-p}{p^2}

Written by

Sahithyan K.

November 3, 2026 1 min read

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