geometric_distribution
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| geometric_distribution [2025/10/11 03:19] – hkimscil | geometric_distribution [2025/10/11 06:23] (current) – hkimscil | ||
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| \end{align*} | \end{align*} | ||
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| + | ====== Proof of mean and variance of geometric distribution ====== | ||
| + | [[:Mean and Variance of Geometric Distribution]] | ||
| + | |||
| {{youtube> | {{youtube> | ||
| + | \\ | ||
| + | \\ | ||
| + | <WRAP clear/> | ||
| + | ====== dgeom in r ====== | ||
| < | < | ||
| > dgeom(4, .2) | > dgeom(4, .2) | ||
| Line 21: | Line 29: | ||
| </ | </ | ||
| + | ====== pgeom ====== | ||
| < | < | ||
| > pgeom(4, .2, lower.tail=T) | > pgeom(4, .2, lower.tail=T) | ||
| Line 34: | Line 43: | ||
| > pgeom(4, .2, lower.tail=T)+pgeom(4, | > pgeom(4, .2, lower.tail=T)+pgeom(4, | ||
| [1] 1 | [1] 1 | ||
| - | |||
| </ | </ | ||
| + | ====== qgeom ====== | ||
| < | < | ||
| > qgeom(.5, .2) | > qgeom(.5, .2) | ||
| Line 57: | Line 66: | ||
| </ | </ | ||
| + | ====== rgeom ====== | ||
| 성공 확률이 .2 일 때 몇번 만에 성공할지 랜덤하게 구하는 것을 다섯 번 하라. | 성공 확률이 .2 일 때 몇번 만에 성공할지 랜덤하게 구하는 것을 다섯 번 하라. | ||
| < | < | ||
| Line 63: | Line 73: | ||
| > | > | ||
| </ | </ | ||
| - | ====== Proof of mean and variance of geometric distribution ====== | ||
| - | [[:Mean and Variance of Geometric Distribution]] | ||
| - | ===== e.g., ===== | + | ====== e.g., ====== |
| <WRAP box> | <WRAP box> | ||
| The probability that another snowboarder will make it down the slope without falling over is 0.4. Your job is to play like you’re the snowboarder and work out the following probabilities for your slope success. | The probability that another snowboarder will make it down the slope without falling over is 0.4. Your job is to play like you’re the snowboarder and work out the following probabilities for your slope success. | ||
geometric_distribution.1760120386.txt.gz · Last modified: by hkimscil