{"id":759,"date":"2023-07-28T20:34:38","date_gmt":"2023-07-28T20:34:38","guid":{"rendered":"https:\/\/statorials.org\/de\/rechner-fur-negative-binomialverteilung\/"},"modified":"2023-07-28T20:34:38","modified_gmt":"2023-07-28T20:34:38","slug":"rechner-fur-negative-binomialverteilung","status":"publish","type":"post","link":"https:\/\/statorials.org\/de\/rechner-fur-negative-binomialverteilung\/","title":{"rendered":"Rechner f\u00fcr negative binomialverteilung"},"content":{"rendered":"<p><script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjs\/5.1.1\/math.js\"><\/script><script src=\"https:\/\/cdn.jsdelivr.net\/npm\/jstat@latest\/dist\/jstat.min.js\"><\/script><\/p>\n<style>\n@import url('https:\/\/fonts.googleapis.com\/css?family=Droid+Serif|Raleway');<\/p>\n<p>.axis--y .domain {\n  display: none;\n}<\/p>\n<p>h1 {\ntext-align: center;\nfont-size: 50px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', serif;\n}<\/p>\n<p>p {\ncolor: black;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>#words {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#words_calc {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#hr_top {\nwidth: 30%;\nmargin-bottom: 0px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#hr_bottom {\nwidth: 30%;\nmargin-top: 15px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#words label, input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #buttonCalc {\n      border: 1px solid;\n      border-radius: 10px;\n      margin-top: 20px;\n      padding: 10px 10px;\n      cursor: pointer;\n      outline: none;\n      background-color: white;\n      color: black;\n      font-family: 'Work Sans', sans-serif;\n      border: 1px solid grey;\n      \/* Green *\/\n    }<\/p>\n<p>    #buttonCalc:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }<\/p>\n<p>#words_intro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}\n<\/style>\n<div id=\"words_intro\">Dieser Rechner verwendet die negative Binomialverteilung, um die Wahrscheinlichkeit zu ermitteln, dass <b>k<\/b> Fehler auftreten, bevor <b>r<\/b> Erfolge auftreten, wenn die Erfolgswahrscheinlichkeit bei jedem Versuch <b>p<\/b> betr\u00e4gt.<\/div>\n<div id=\"words\"> <label><b>k<\/b> (Anzahl der Ausf\u00e4lle)<\/label><input type=\"number\" id=\"k\" value=\"9\"><\/div>\n<div id=\"words\"> <label><b>r<\/b> (Anzahl der Erfolge)<\/label><input type=\"number\" id=\"r\" value=\"4\"><\/div>\n<div id=\"words\"> <label><b>p<\/b> (Erfolgswahrscheinlichkeit bei einem bestimmten Versuch)<\/label> <input type=\"number\" id=\"p\" value=\"0.3\"><\/div>\n<div id=\"words_calc\"><input type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words\">\n<p> P(X = <span id=\"x1\">9<\/span> ): <span id=\"exactP\">0,07191<\/span><\/p>\n<\/div>\n<p><script><\/p>\n<p>function calc() {<\/p>\n<p>\/\/get input values\nvar p = +document.getElementById('p').value;\nvar k = +document.getElementById('k').value;\nvar r = +document.getElementById('r').value;<\/p>\n<p>\/\/calculate SE\nvar exactP = jStat.negbin.pdf(k, r, p);<\/p>\n<p>\/\/output probabilities\ndocument.getElementById('exactP').innerHTML = exactP.toFixed(5);\ndocument.getElementById('x1').innerHTML = k;\n}<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dieser Rechner verwendet die negative Binomialverteilung, um die Wahrscheinlichkeit zu ermitteln, dass k Fehler auftreten, bevor r Erfolge auftreten, wenn die Erfolgswahrscheinlichkeit bei jedem Versuch p betr\u00e4gt. k (Anzahl der Ausf\u00e4lle) r (Anzahl der Erfolge) p (Erfolgswahrscheinlichkeit bei einem bestimmten Versuch) P(X = 9 ): 0,07191<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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