{"id":3118,"date":"2023-07-19T03:24:49","date_gmt":"2023-07-19T03:24:49","guid":{"rendered":"https:\/\/statorials.org\/id\/python-distribusi-eksponensial\/"},"modified":"2023-07-19T03:24:49","modified_gmt":"2023-07-19T03:24:49","slug":"python-distribusi-eksponensial","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/python-distribusi-eksponensial\/","title":{"rendered":"Cara menggunakan distribusi eksponensial dengan python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/id\/distribusi-eksponensial-1\/\" target=\"_blank\" rel=\"noopener\">Distribusi eksponensial<\/a> adalah distribusi probabilitas yang digunakan untuk memodelkan waktu kita harus menunggu hingga suatu peristiwa tertentu terjadi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jika suatu variabel acak <em>X<\/em> mengikuti distribusi eksponensial, maka<\/span> <span style=\"color: #000000;\">fungsi distribusi kumulatif <em>X<\/em> dapat ditulis:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>F<\/em> (x; \u03bb) = 1 \u2013 e <sup>-\u03bbx<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03bb:<\/strong> parameter laju (dihitung sebagai \u03bb = 1\/\u03bc)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>e:<\/strong> Konstanta yang kira-kira sama dengan 2,718<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Tutorial ini menjelaskan cara menggunakan distribusi eksponensial dengan Python.<\/span><\/p>\n<h3> <strong>Cara menghasilkan distribusi eksponensial<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Anda dapat menggunakan fungsi <strong>expon.rvs(scale, size)<\/strong> dari perpustakaan SciPy dengan Python untuk menghasilkan nilai acak dari distribusi eksponensial dengan parameter laju dan ukuran sampel tertentu:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> expo\n\n<span style=\"color: #008080;\">#generate random values from exponential distribution with rate=40 and sample size=10<\/span>\nexpon. <span style=\"color: #3366ff;\">rvs<\/span> (scale= <span style=\"color: #008000;\">40<\/span> , size= <span style=\"color: #008000;\">10<\/span> )\n\narray([116.5368323 , 67.23514699, 12.00399043, 40.74580584,\n        34.60922432, 2.68266663, 22.70459831, 97.66661811,\n         6.64272914, 46.15547298])\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Catatan<\/strong> : Anda dapat menemukan dokumentasi lengkap perpustakaan SciPy <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.expon.html\" target=\"_blank\" rel=\"noopener\">di sini<\/a> .<\/span><\/p>\n<h3> <strong>Cara Menghitung Probabilitas Menggunakan Distribusi Eksponensial<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Asumsikan rata-rata jumlah menit antara letusan geyser tertentu adalah 40 menit. Seberapa besar kemungkinan kita harus menunggu kurang dari 50 menit untuk terjadinya letusan?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Untuk mengatasi masalah ini, pertama-tama kita perlu menghitung parameter laju:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u03bb = 1\/\u00b5<\/span><\/li>\n<li> <span style=\"color: #000000;\">= 1\/40<\/span><\/li>\n<li> <span style=\"color: #000000;\">= 0,025<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kita dapat memasukkan \u03bb = 0,025 dan x = 50 ke dalam rumus CDF:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X \u2264 x) = 1 \u2013 e <sup>-\u03bbx<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X \u2264 50) = 1 \u2013 e <sup>-0,025(50)<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X \u2264 50) = 0,7135<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Peluang kita harus menunggu kurang dari 50 menit untuk letusan berikutnya adalah <strong>0,7135<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan fungsi <strong>expon.cdf()<\/strong> SciPy untuk menyelesaikan masalah ini dengan Python:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> expo\n\n<span style=\"color: #008080;\">#calculate probability that x is less than 50 when mean rate is 40<\/span>\nexpon. <span style=\"color: #3366ff;\">cdf<\/span> (x=50, scale=40)\n\n0.7134952031398099\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Peluang kita harus menunggu kurang dari 50 menit untuk letusan berikutnya adalah <strong>0,7135<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ini sesuai dengan nilai yang kami hitung secara manual.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Cara memplot distribusi eksponensial<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Anda dapat menggunakan sintaks berikut untuk memplot distribusi eksponensial dengan parameter laju tertentu:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> expo\n<span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#generate exponential distribution with sample size 10000<\/span>\nx = expon. <span style=\"color: #3366ff;\">rvs<\/span> (scale= <span style=\"color: #008000;\">40<\/span> ,size= <span style=\"color: #008000;\">10000<\/span> )\n\n<span style=\"color: #008080;\">#create plot of exponential distribution\n<\/span>plt. <span style=\"color: #3366ff;\">hist<\/span> (x, density= <span style=\"color: #008000;\">True<\/span> , edgecolor=' <span style=\"color: #ff0000;\">black<\/span> ')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26590 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exponentielpython1.jpg\" alt=\"\" width=\"514\" height=\"388\" srcset=\"\" sizes=\"\"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Tutorial berikut menjelaskan cara menggunakan distribusi umum lainnya dengan Python:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/id\/ular-piton-distribusi-ikan\/\" target=\"_blank\" rel=\"noopener\">Cara menggunakan distribusi Poisson dengan Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/t-distribusi-python\/\" target=\"_blank\" rel=\"noopener\">Cara menggunakan distribusi t dengan Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/distribusi-seragam-python\/\" target=\"_blank\" rel=\"noopener\">Cara Menggunakan Distribusi Seragam dengan Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Distribusi eksponensial adalah distribusi probabilitas yang digunakan untuk memodelkan waktu kita harus menunggu hingga suatu peristiwa tertentu terjadi. Jika suatu variabel acak X mengikuti distribusi eksponensial, maka fungsi distribusi kumulatif X dapat ditulis: F (x; \u03bb) = 1 \u2013 e -\u03bbx Emas: \u03bb: parameter laju (dihitung sebagai \u03bb = 1\/\u03bc) e: Konstanta yang kira-kira sama [&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>Cara Menggunakan Distribusi Eksponensial dengan Python - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara menggunakan distribusi eksponensial dengan Python, dengan 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\/python-distribusi-eksponensial\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara Menggunakan Distribusi Eksponensial dengan Python - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara menggunakan distribusi eksponensial dengan Python, dengan beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/python-distribusi-eksponensial\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-19T03:24:49+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exponentielpython1.jpg\" \/>\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\/python-distribusi-eksponensial\/\",\"url\":\"https:\/\/statorials.org\/id\/python-distribusi-eksponensial\/\",\"name\":\"Cara Menggunakan Distribusi Eksponensial dengan Python - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-19T03:24:49+00:00\",\"dateModified\":\"2023-07-19T03:24:49+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara menggunakan distribusi eksponensial dengan Python, dengan beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/python-distribusi-eksponensial\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/python-distribusi-eksponensial\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/python-distribusi-eksponensial\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara menggunakan distribusi eksponensial dengan python\"}]},{\"@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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