{"id":724,"date":"2023-07-28T23:25:16","date_gmt":"2023-07-28T23:25:16","guid":{"rendered":"https:\/\/statorials.org\/de\/fischverteilungsrechner\/"},"modified":"2023-07-28T23:25:16","modified_gmt":"2023-07-28T23:25:16","slug":"fischverteilungsrechner","status":"publish","type":"post","link":"https:\/\/statorials.org\/de\/fischverteilungsrechner\/","title":{"rendered":"Fischverteilungsrechner"},"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\">Die <a href=\"https:\/\/statorials.org\/de\/verteilung-von-fisch\/\" target=\"_blank\" rel=\"noopener\">Poisson-Verteilung<\/a> ist eine der am h\u00e4ufigsten verwendeten Verteilungen in der Statistik.<\/div>\n<div id=\"words_intro\"> Dieser Rechner ermittelt die Poisson-Wahrscheinlichkeiten, die einem bereitgestellten Poisson-Mittelwert und einem Wert f\u00fcr eine Zufallsvariable zugeordnet sind.<\/div>\n<div id=\"words\"> <label for=\"mean\"><b>\u03bb<\/b> (durchschnittliche Erfolgsquote)<\/label><input type=\"number\" id=\"mean\" value=\"5\"><\/div>\n<div id=\"words\"> <label for=\"x\"><b>x<\/b> (Zufallsvariable)<\/label> <input type=\"number\" id=\"x\" value=\"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\">3<\/span> ): <span id=\"exactP\">0,14037<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> P(X &lt; <span id=\"x2\">3<\/span> ): <span id=\"lessP\">0,12465<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> P(X \u2264 <span id=\"x3\">3<\/span> ): <span id=\"lessEP\">0,26503<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> P(X &gt; <span id=\"x4\">3<\/span> ): <span id=\"greatP\">0,73497<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> P(X \u2265 <span id=\"x5\">3<\/span> ): <span id=\"greatEP\">0,87535<\/span><\/p>\n<\/div>\n<p><script><\/p>\n<p>function calc() {<\/p>\n<p>\/\/get input values\nvar x = +document.getElementById('x').value;\nvar mean = +document.getElementById('mean').value;<\/p>\n<p>\/\/calculate SE\nvar exactP = jStat.poisson.pdf(x, mean);\nvar lessP = jStat.poisson.cdf(x-1, mean);\nvar lessEP = jStat.poisson.cdf(x, mean);\nvar greatP = 1-jStat.poisson.cdf(x, mean);\nvar greatEP = 1-jStat.poisson.cdf(x-1, mean);<\/p>\n<p>\/\/output probabilities\ndocument.getElementById('exactP').innerHTML = exactP.toFixed(5);\ndocument.getElementById('lessP').innerHTML = lessP.toFixed(5);\ndocument.getElementById('lessEP').innerHTML = lessEP.toFixed(5);\ndocument.getElementById('greatP').innerHTML = greatP.toFixed(5);\ndocument.getElementById('greatEP').innerHTML = greatEP.toFixed(5);<\/p>\n<p>document.getElementById('x1').innerHTML = x;\ndocument.getElementById('x2').innerHTML = x;\ndocument.getElementById('x3').innerHTML = x;\ndocument.getElementById('x4').innerHTML = x;\ndocument.getElementById('x5').innerHTML = x;\n}<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Die Poisson-Verteilung ist eine der am h\u00e4ufigsten verwendeten Verteilungen in der Statistik. Dieser Rechner ermittelt die Poisson-Wahrscheinlichkeiten, die einem bereitgestellten Poisson-Mittelwert und einem Wert f\u00fcr eine Zufallsvariable zugeordnet sind. \u03bb (durchschnittliche Erfolgsquote) x (Zufallsvariable) P(X = 3 ): 0,14037 P(X &lt; 3 ): 0,12465 P(X \u2264 3 ): 0,26503 P(X &gt; 3 ): 0,73497 P(X [&hellip;]<\/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 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fischverteilungsrechner \u2013 Statorials<\/title>\n<meta name=\"description\" content=\"Dieser Rechner ermittelt die Poisson-Wahrscheinlichkeit, die einem bereitgestellten Poisson-Mittelwert und einem Wert f\u00fcr eine Zufallsvariable zugeordnet ist.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/de\/fischverteilungsrechner\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fischverteilungsrechner \u2013 Statorials\" \/>\n<meta property=\"og:description\" content=\"Dieser Rechner ermittelt die Poisson-Wahrscheinlichkeit, die einem bereitgestellten Poisson-Mittelwert und einem Wert f\u00fcr eine Zufallsvariable zugeordnet ist.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/de\/fischverteilungsrechner\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T23:25:16+00:00\" \/>\n<meta name=\"author\" content=\"Dr. Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Verfasst von\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. Benjamin Anderson\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/de\/fischverteilungsrechner\/\",\"url\":\"https:\/\/statorials.org\/de\/fischverteilungsrechner\/\",\"name\":\"Fischverteilungsrechner \u2013 Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/de\/#website\"},\"datePublished\":\"2023-07-28T23:25:16+00:00\",\"dateModified\":\"2023-07-28T23:25:16+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/de\/#\/schema\/person\/ec75c4d6365f2708f8a0ad3a42121aa0\"},\"description\":\"Dieser Rechner ermittelt die Poisson-Wahrscheinlichkeit, die einem bereitgestellten Poisson-Mittelwert und einem Wert f\u00fcr eine Zufallsvariable zugeordnet ist.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/de\/fischverteilungsrechner\/#breadcrumb\"},\"inLanguage\":\"de-DE\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/de\/fischverteilungsrechner\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/de\/fischverteilungsrechner\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Heim\",\"item\":\"https:\/\/statorials.org\/de\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Fischverteilungsrechner\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/de\/#website\",\"url\":\"https:\/\/statorials.org\/de\/\",\"name\":\"Statorials\",\"description\":\"Ihr Leitfaden f\u00fcr statistische Kompetenz !\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/de\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"de-DE\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/de\/#\/schema\/person\/ec75c4d6365f2708f8a0ad3a42121aa0\",\"name\":\"Dr. Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"de-DE\",\"@id\":\"https:\/\/statorials.org\/de\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/de\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/de\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. Benjamin Anderson\"},\"description\":\"Hallo, ich bin Benjamin, ein pensionierter Statistikprofessor, der sich zum engagierten Statorials-Lehrer entwickelt hat. 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