{"id":1394,"date":"2023-07-26T13:50:04","date_gmt":"2023-07-26T13:50:04","guid":{"rendered":"https:\/\/statorials.org\/id\/distribusi-segitiga\/"},"modified":"2023-07-26T13:50:04","modified_gmt":"2023-07-26T13:50:04","slug":"distribusi-segitiga","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/distribusi-segitiga\/","title":{"rendered":"Pengenalan distribusi segitiga"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Distribusi segitiga<\/strong> merupakan distribusi probabilitas kontinu dengan fungsi kepadatan probabilitas berbentuk segitiga.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ini ditentukan oleh tiga nilai:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Nilai minimumnya <em>adalah<\/em><\/span><\/li>\n<li> <span style=\"color: #000000;\">Nilai <em>maksimumb<\/em><\/span><\/li>\n<li> <span style=\"color: #000000;\">Nilai maksimum <em>c<\/em><\/span> <\/li>\n<\/ul>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13844 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/triangulaire1-1.png\" alt=\"Distribusi segitiga\" width=\"450\" height=\"364\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Nama distribusinya berasal dari fakta bahwa fungsi kepadatan probabilitas berbentuk segitiga.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ternyata distribusi ini sangat berguna di dunia nyata karena kita sering kali dapat memperkirakan nilai minimum (a), nilai maksimum (b), dan nilai yang paling mungkin (c) yang akan diambil oleh suatu variabel acak . sering kali dapat memodelkan perilaku variabel acak menggunakan distribusi segitiga hanya dengan mengetahui ketiga nilai ini.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, sebuah restoran mungkin memperkirakan bahwa total penjualannya untuk minggu mendatang adalah minimal $10.000, maksimal $30.000, dan kemungkinan besar $25.000.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13845 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/triangulaire2.png\" alt=\"Contoh distribusi segitiga\" width=\"400\" height=\"395\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Hanya dengan menggunakan ketiga angka ini, mereka dapat menggunakan distribusi segitiga untuk menentukan probabilitas menghasilkan sejumlah penjualan tertentu.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sifat-sifat distribusi segitiga<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Distribusi segitiga mempunyai sifat-sifat sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>PDF:<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13846 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/triangulaire3.png\" alt=\"PDF untuk distribusi segitiga\" width=\"315\" height=\"244\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>CDF:<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15449 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/triangulaire4.png\" alt=\"\" width=\"322\" height=\"179\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Rata-rata:<\/strong> (a + b + c) \/ 3<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Modus:<\/strong> c<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Varians:<\/strong> (a <sup>2<\/sup> + b <sup>2<\/sup> + c <sup>2<\/sup> \u2013 ab \u2013 ac \u2013 bc) \/ 18<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh penggunaan distribusi segitiga<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Mari kita kembali ke contoh sebelumnya. Katakanlah sebuah restoran memperkirakan total penjualannya untuk minggu mendatang adalah minimal $10.000, maksimal $30.000, dan kemungkinan besar $25.000.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13845 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/triangulaire2.png\" alt=\"Contoh distribusi segitiga\" width=\"400\" height=\"395\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Berapa probabilitas restoran tersebut mempunyai total penjualan kurang dari $20.000?<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Untuk menjawab pertanyaan ini, kita dapat menanyakan x = total penjualan. Kita tahu bahwa x terletak di antara nilai minimum <em>a<\/em> sebesar $10.000 dan nilai maksimum <em>c<\/em> sebesar $25.000.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jadi, berdasarkan PDF, kita dapat menggunakan persamaan berikut untuk mencari probabilitas bahwa restoran tersebut memiliki total penjualan kurang dari $20.000:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X &lt; $20.000) = (xa) <sup>2<\/sup> \/ ((ba)(ca))<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X &lt; $20.000) = (20.000-10.000) <sup>2<\/sup> \/ ((30.000-10.000)(25.000-10.000))<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X &lt; $20.000) = 0,333<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Peluang restoran tersebut mempunyai total penjualan kurang dari $20.000 adalah <strong>0,333<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Berapa rata-rata penjualan yang diharapkan untuk restoran tersebut?<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat menghitung rata-rata penjualan yang diharapkan menggunakan rumus rata-rata yang diberikan sebelumnya:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Rata-rata = (a + b + c) \/ 3<\/span><\/li>\n<li> <span style=\"color: #000000;\">Rata-rata = ($10.000 + $30.000 + $25.000) \/ 3<\/span><\/li>\n<li> <span style=\"color: #000000;\">Rata-rata = $21.667<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Rata-rata penjualan yang diharapkan adalah <strong>21.667<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Tutorial berikut memberikan pengenalan tentang distribusi lain yang umum digunakan:<\/span><\/p>\n<p> Distribusi normal<br \/> <a href=\"https:\/\/statorials.org\/id\/distribusi-binomial-1\/\" target=\"_blank\" rel=\"noopener\">Distribusi binomial<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/distribusi-ikan\/\" target=\"_blank\" rel=\"noopener\">Distribusi Ikan<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/distribusi-geometris\/\" target=\"_blank\" rel=\"noopener\">Distribusi geometris<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Distribusi segitiga merupakan distribusi probabilitas kontinu dengan fungsi kepadatan probabilitas berbentuk segitiga. Ini ditentukan oleh tiga nilai: Nilai minimumnya adalah Nilai maksimumb Nilai maksimum c Nama distribusinya berasal dari fakta bahwa fungsi kepadatan probabilitas berbentuk segitiga. Ternyata distribusi ini sangat berguna di dunia nyata karena kita sering kali dapat memperkirakan nilai minimum (a), nilai maksimum [&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>Pengantar Distribusi Segitiga - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini memberikan pengenalan tentang distribusi segitiga, termasuk definisi dan beberapa contoh.\" \/>\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\/id\/distribusi-segitiga\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pengantar Distribusi Segitiga - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini memberikan pengenalan tentang distribusi segitiga, termasuk definisi dan beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/distribusi-segitiga\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T13:50:04+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/triangulaire1-1.png\" \/>\n<meta name=\"author\" content=\"Benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-segitiga\/\",\"url\":\"https:\/\/statorials.org\/id\/distribusi-segitiga\/\",\"name\":\"Pengantar Distribusi Segitiga - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-26T13:50:04+00:00\",\"dateModified\":\"2023-07-26T13:50:04+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini memberikan pengenalan tentang distribusi segitiga, termasuk definisi dan beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/distribusi-segitiga\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/distribusi-segitiga\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-segitiga\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Pengenalan distribusi segitiga\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/id\/#website\",\"url\":\"https:\/\/statorials.org\/id\/\",\"name\":\"Statorials\",\"description\":\"Panduan anda untuk kompetensi statistik!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\",\"name\":\"Benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin anderson\"},\"description\":\"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. 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