mean_and_variance_of_geometric_distribution
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| mean_and_variance_of_geometric_distribution [2025/09/10 11:35] – hkimscil | mean_and_variance_of_geometric_distribution [2025/10/01 13:17] (current) – [Mean] hkimscil | ||
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| (1-(1-p))E(X) & = p \frac {1 - (1-p)^k} {1-(1-p)}, \;\;\; \text{because | (1-(1-p))E(X) & = p \frac {1 - (1-p)^k} {1-(1-p)}, \;\;\; \text{because | ||
| & = p \frac {1}{1-(1-p)} \\ | & = p \frac {1}{1-(1-p)} \\ | ||
| + | & = 1 \\ | ||
| p \cdot E(X) & = 1 \\ | p \cdot E(X) & = 1 \\ | ||
| \therefore \quad E(X) & = \frac {1}{p} \\ | \therefore \quad E(X) & = \frac {1}{p} \\ | ||
mean_and_variance_of_geometric_distribution.1757471716.txt.gz · Last modified: by hkimscil