{"id":937,"date":"2023-07-28T06:28:19","date_gmt":"2023-07-28T06:28:19","guid":{"rendered":"https:\/\/statorials.org\/id\/bentuk-distribusi-binomial\/"},"modified":"2023-07-28T06:28:19","modified_gmt":"2023-07-28T06:28:19","slug":"bentuk-distribusi-binomial","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/bentuk-distribusi-binomial\/","title":{"rendered":"Memahami bentuk distribusi binomial"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/id\/distribusi-binomial-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">Distribusi binomial<\/a> menggambarkan probabilitas diperolehnya <em>k<\/em> keberhasilan dalam <em>n<\/em> percobaan binomial.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jika suatu<\/span> variabel acak <span style=\"color: #000000;\"><em>X<\/em> mengikuti distribusi binomial, maka peluang keberhasilan <em>X<\/em> = <em>k<\/em> dapat dicari dengan rumus berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=k) = <sub>n<\/sub> C <sub>k<\/sub> * p <sup>k<\/sup> * (1-p) <sup>nk<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> jumlah percobaan<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> jumlah keberhasilan<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p:<\/strong> probabilitas keberhasilan pada percobaan tertentu<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>n<\/sub> C <sub>k<\/sub> :<\/strong> banyaknya cara untuk memperoleh <em>k<\/em> keberhasilan dalam <em>n<\/em> percobaan<\/span><\/li>\n<\/ul>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Distribusi probabilitas binomial cenderung berbentuk lonceng ketika satu atau lebih dari dua kondisi berikut terjadi:<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><strong>1.<\/strong> Ukuran sampel (n) besar.<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><strong>2.<\/strong> Probabilitas keberhasilan suatu percobaan tertentu (p) mendekati 0,5.<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Namun, distribusi probabilitas binomial cenderung miring jika tidak satu pun dari kondisi ini terjadi.<\/span> <span style=\"color: #000000;\">Untuk mengilustrasikannya, perhatikan contoh berikut:<\/span><\/p>\n<h3 data-slot-rendered-dynamic=\"true\"> <strong>Contoh 1: Ukuran sampel (n) besar<\/strong><\/h3>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Grafik berikut menampilkan distribusi probabilitas ketika n = <strong>200<\/strong> dan p = <strong>0.5<\/strong> .<\/span> <\/p>\n<p data-slot-rendered-dynamic=\"true\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9924 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomialshape1.png\" alt=\"Bentuk distribusi binomial\" width=\"457\" height=\"439\" srcset=\"\" sizes=\"\"><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Sumbu x menampilkan jumlah keberhasilan dalam 200 percobaan dan sumbu y menampilkan kemungkinan terjadinya jumlah keberhasilan tersebut.<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Karena <strong>(1)<\/strong> ukuran sampelnya besar dan <strong>(2)<\/strong> probabilitas keberhasilan suatu percobaan mendekati 0,5, maka distribusi probabilitasnya berbentuk lonceng.<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Bahkan ketika probabilitas keberhasilan percobaan tertentu (p) tidak mendekati 0,5, distribusi probabilitas akan tetap berbentuk lonceng selama ukuran sampel (n) besar. Untuk mengilustrasikannya, perhatikan dua skenario berikut ketika p = 0,2 dan p = 0,8.<\/span> <\/p>\n<p data-slot-rendered-dynamic=\"true\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9925 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomeforme2.png\" alt=\"\" width=\"457\" height=\"438\" srcset=\"\" sizes=\"\"><\/p>\n<p data-slot-rendered-dynamic=\"true\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9926 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomeforme3.png\" alt=\"\" width=\"457\" height=\"438\" srcset=\"\" sizes=\"\"><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Perhatikan bagaimana distribusi probabilitas berbentuk lonceng di kedua skenario.<\/span><\/p>\n<h3 data-slot-rendered-dynamic=\"true\"> <strong>Contoh 2: probabilitas keberhasilan (p) mendekati 0,5<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Grafik berikut menampilkan distribusi probabilitas ketika n = <strong>10<\/strong> dan p = <strong>0.4<\/strong> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9927 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomeforme4.png\" alt=\"Bentuk distribusi binomial bila p = 0,5\" width=\"384\" height=\"371\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Meskipun ukuran sampel (n = 10) kecil, distribusi probabilitas tetap berbentuk lonceng karena probabilitas keberhasilan percobaan tertentu (p = 0,4) mendekati 0,5.<\/span><\/p>\n<h3 data-slot-rendered-dynamic=\"true\"> <strong>Contoh 3: Distribusi binomial miring<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Jika <strong>(1)<\/strong> ukuran sampel tidak besar atau <strong>(2)<\/strong> probabilitas keberhasilan suatu percobaan mendekati 0,5, distribusi probabilitas binomial akan condong ke kiri atau ke kanan.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, grafik berikut menunjukkan distribusi probabilitas ketika n = <strong>20<\/strong> dan p = <strong>0.1<\/strong> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9928 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomeforme5.png\" alt=\"Distribusi binomial asimetris\" width=\"407\" height=\"387\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Perhatikan bagaimana distribusinya condong ke kanan.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dan grafik berikut menunjukkan distribusi probabilitas ketika n = <strong>20<\/strong> dan p = <strong>0.9<\/strong> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9929 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomeforme6.png\" alt=\"Distribusi binomial miring ke kiri\" width=\"406\" height=\"402\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Perhatikan bagaimana distribusinya condong ke kiri.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Catatan akhir<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Setiap grafik dalam artikel ini dibuat menggunakan bahasa pemrograman statistik R. Pelajari cara memplot distribusi probabilitas binomial Anda sendiri di R menggunakan <a href=\"https:\/\/statorials.org\/id\/plot-distribusi-binomial-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">tutorial ini<\/a> .<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Distribusi binomial menggambarkan probabilitas diperolehnya k keberhasilan dalam n percobaan binomial. Jika suatu variabel acak X mengikuti distribusi binomial, maka peluang keberhasilan X = k dapat dicari dengan rumus berikut: P(X=k) = n C k * p k * (1-p) nk Emas: n: jumlah percobaan k: jumlah keberhasilan p: probabilitas keberhasilan pada percobaan tertentu n [&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>Memahami Bentuk Distribusi Binomial - Statologi<\/title>\n<meta name=\"description\" content=\"Penjelasan sederhana tentang cara memahami dan menafsirkan bentuk distribusi binomial.\" \/>\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\/bentuk-distribusi-binomial\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Memahami Bentuk Distribusi Binomial - Statologi\" \/>\n<meta property=\"og:description\" content=\"Penjelasan sederhana tentang cara memahami dan menafsirkan bentuk distribusi binomial.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/bentuk-distribusi-binomial\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T06:28:19+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/binomialshape1.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\/bentuk-distribusi-binomial\/\",\"url\":\"https:\/\/statorials.org\/id\/bentuk-distribusi-binomial\/\",\"name\":\"Memahami Bentuk Distribusi Binomial - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-28T06:28:19+00:00\",\"dateModified\":\"2023-07-28T06:28:19+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Penjelasan sederhana tentang cara memahami dan menafsirkan bentuk distribusi binomial.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/bentuk-distribusi-binomial\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/bentuk-distribusi-binomial\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/bentuk-distribusi-binomial\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Memahami bentuk distribusi binomial\"}]},{\"@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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