Discrete probability distributions.html (3839B)
1 <?xml version="1.0" encoding="UTF-8"?> 2 <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> 3 <html><head><link rel="stylesheet" href="sitewide.css"><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"/><meta name="exporter-version" content="Evernote Mac 7.6 (457297)"/><meta name="altitude" content="-4.208069801330566"/><meta name="author" content="Alex Balgavy"/><meta name="created" content="2018-12-16 00:43:27 +0000"/><meta name="latitude" content="52.30035400390625"/><meta name="longitude" content="4.988170682800604"/><meta name="source" content="desktop.mac"/><meta name="updated" content="2018-12-16 01:27:36 +0000"/><title>Discrete probability distributions</title></head><body><h1>Discrete probability distributions</h1><div style="margin-top: 1em; margin-bottom: 1em;-en-paragraph:true;"><div>experiment: possible outcomes, probability of outcome</div><div> 4 random variable: possible values, probability of value</div></div><div style="margin-top: 1em; margin-bottom: 1em;-en-paragraph:true;">Tables, e.g. for dice:</div><table style="border-collapse: collapse; min-width: 100%;"><colgroup><col style="width: 130px;"/><col style="width: 130px;"/></colgroup><tbody><tr><td style="width: 130px; padding: 8px; border: 1px solid;">x</td><td style="width: 130px; padding: 8px; border: 1px solid;"><div> 5 <img src="Discrete%20probability%20distributions.resources/848A0942-2B6E-4B1D-B9FD-37838A13558E.png" height="16" width="60"/></div></td></tr><tr><td style="width: 130px; padding: 8px; border: 1px solid;">1</td><td style="width: 130px; padding: 8px; border: 1px solid;"><div> 6 <img src="Discrete%20probability%20distributions.resources/A5980C16-FDAB-4A91-BAA7-659F13C7F697.png" height="31" width="8"/></div></td></tr><tr><td style="width: 130px; padding: 8px; border: 1px solid;">2</td><td style="width: 130px; padding: 8px; border: 1px solid;"><div> 7 <img src="Discrete%20probability%20distributions.resources/A5980C16-FDAB-4A91-BAA7-659F13C7F697.png" height="31" width="8"/></div></td></tr><tr><td style="width: 130px; padding: 8px; border: 1px solid;">3</td><td style="width: 130px; padding: 8px; border: 1px solid;"><div> 8 <img src="Discrete%20probability%20distributions.resources/A5980C16-FDAB-4A91-BAA7-659F13C7F697.png" height="31" width="8"/></div></td></tr><tr><td style="width: 130px; padding: 8px; border: 1px solid;">4</td><td style="width: 130px; padding: 8px; border: 1px solid;"><div> 9 <img src="Discrete%20probability%20distributions.resources/A5980C16-FDAB-4A91-BAA7-659F13C7F697.png" height="31" width="8"/></div></td></tr><tr><td style="width: 130px; padding: 8px; border: 1px solid;">5</td><td style="width: 130px; padding: 8px; border: 1px solid;"><div> 10 <img src="Discrete%20probability%20distributions.resources/A5980C16-FDAB-4A91-BAA7-659F13C7F697.png" height="31" width="8"/></div></td></tr><tr><td style="width: 130px; padding: 8px; border: 1px solid;">6</td><td style="width: 130px; padding: 8px; border: 1px solid;"><div> 11 <img src="Discrete%20probability%20distributions.resources/A5980C16-FDAB-4A91-BAA7-659F13C7F697.png" height="31" width="8"/></div></td></tr></tbody></table><div style="margin-top: 1em; margin-bottom: 1em;-en-paragraph:true;"><div> 12 <img src="Discrete%20probability%20distributions.resources/9D698922-6835-4DF6-A48F-B660154609EE.png" height="16" width="34"/>: sum of (x times its probability)</div><div><br/></div><div><span style="font-size: 16px;"> 13 <img src="Discrete%20probability%20distributions.resources/AFCADD4F-0AD1-4C3F-A2B9-6039157E6FD8.png" height="48" width="239"/></span></div></div><div style="margin-top: 1em; margin-bottom: 1em;-en-paragraph:true;">in english: to get variance, sum the (square of each value times its probability) and subtract the square of the mean.</div></body></html>