File:Probability that 0 ≤ m ≤ 200 random letters contain the entire alphabet.svg
From Wikimedia Commons, the free media repository
Probability_that_0_≤_m_≤_200_random_letters_contain_the_entire_alphabet.svg (SVG file, nominally 720 × 720 pixels, file size: 109 KB)
[edit] Summary
| Description |
English: A plot of
 for n = 26 and 0 ≤ m ≤ 200, i.e. the probability than m uniformly distributed random letters will contain the entire 26-letter alphabet. |
|---|---|
| Date |
17 January 2006 |
| Source |
Own work by uploader: computed with a Perl script given here, plotted with GNU Plotutils, tweaked in Inkscape. |
| Author | |
| Permission (Reusing this image) |
See below. |
[edit] Licensing
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 18:52, 2 May 2009 | | 720×720 (109 KB) | Ilmari Karonen (Talk | contribs) | ({{Information |Description={{en|1=A plot of <math>P(m,n) = \sum_{k=0}^{n} (-1)^k {n \choose k} \left( \frac{n-k}{n} \right)^m</math> for ''n'' = 26 and 0 ≤ ''m'' ≤ 200, i.e. the probability than ''m'' uniformly distributed random letters will contain ) |
- Edit this file using an external application (See the setup instructions for more information)
File links
The following page on Wikimedia Commons links to this file. Some pages on other Wikimedia projects may also link to it.
