{"id":227,"date":"2023-08-03T23:08:41","date_gmt":"2023-08-03T23:08:41","guid":{"rendered":"https:\/\/statorials.org\/id\/distribusi-kontinyu-yang-seragam\/"},"modified":"2023-08-03T23:08:41","modified_gmt":"2023-08-03T23:08:41","slug":"distribusi-kontinyu-yang-seragam","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/distribusi-kontinyu-yang-seragam\/","title":{"rendered":"Distribusi seragam dan berkesinambungan"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu distribusi seragam berkelanjutan dan kegunaannya. Anda juga akan menemukan grafik distribusi seragam kontinu dan sifat-sifat distribusi jenis ini. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-uniforme-continua\"><\/span> Apa yang dimaksud dengan distribusi seragam kontinu?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Distribusi seragam kontinu<\/strong> adalah jenis distribusi probabilitas yang semua nilai mempunyai peluang terjadinya yang sama. Dengan kata lain, distribusi seragam kontinu adalah distribusi yang peluangnya terdistribusi secara merata pada suatu interval.<\/p>\n<p> Distribusi seragam kontinu digunakan untuk menggambarkan variabel kontinu yang mempunyai probabilitas konstan. Demikian pula distribusi seragam kontinu digunakan untuk mendefinisikan proses acak, karena jika semua hasil mempunyai probabilitas yang sama, berarti ada keacakan pada hasilnya.<\/p>\n<p> Distribusi seragam kontinu memiliki dua parameter karakteristik, <em>a<\/em> dan <em>b<\/em> , yang menentukan interval ekuiprobabilitas. Jadi, lambang distribusi seragam kontinu adalah <em>U(a,b)<\/em> , dimana <em>a<\/em> dan <em>b<\/em> adalah nilai karakteristik dari distribusi tersebut.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-339036da3788f71282d3936dd092730c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim U(a,b)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"92\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Misalnya, jika hasil percobaan acak dapat bernilai antara 5 dan 9 dan semua hasil yang mungkin mempunyai peluang terjadinya yang sama, maka percobaan dapat disimulasikan dengan distribusi seragam kontinu U(5.9).<\/p>\n<p> Distribusi seragam kontinu disebut juga <strong>distribusi persegi panjang<\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-uniforme-continua\"><\/span> Rumus distribusi seragam kontinu<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Fungsi kepadatan yang mendefinisikan probabilitas distribusi seragam adalah dibagi dengan selisih antara <em>b<\/em> dan <em>a<\/em> . Oleh karena itu, <strong>rumus distribusi seragam kontinu<\/strong> adalah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f28c4a144fb1377061b84b56968c9540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim U(a,b)\\\\[2ex]f(x)=\\cfrac{1}{b-a}\\\\[4ex]x\\in [a,b]\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"123\" width=\"99\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Di sisi lain, fungsi probabilitas kumulatif dari distribusi seragam kontinu ditentukan oleh ekspresi berikut:<\/p>\n<pre class=\"ql-errors\"> *** QuickLaTeX cannot compile formula:\n\\displaystyle F(x)=\\left\\{\\begin{array}{ll}0&amp;\\text{si }x&lt;h2 class=\"wp-block-heading\"&gt;&lt;span class=\"ez-toc-section\" id =\"grafica-de-la-distribucion-uniforme-continua\"&gt;&lt;\/span&gt; Graph of continuous uniform distribution&lt;span class=\"ez-toc-section-end\"&gt;&lt;\/span&gt;&lt;\/h2&gt; Since in a distribution uniform continuous probability is constant, its graphical representation is simply a function with a constant value defined in the same interval as the uniform distribution. &lt;figure class=\"wp-block-image aligncenter size-full is-resized\"&gt;&lt;img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/ 08\/distribution-uniforme-continue.png\" alt=\"Continuous uniform distribution graph\" class=\"wp-image-4498\" width=\"330\" height=\"232\" srcset=\"\" sizes=\"\"&gt;&lt;\/figure &gt; On the other hand, the cumulative probability graph of the continuous uniform distribution is as follows: &lt;figure class=\"wp-block-image aligncenter size-full is-resized\"&gt;&lt;img decoding=\"async\" loading=\"lazy \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-uniforme-continue-probabilite-cumulative.png\" alt=\"cumulative probability plot of a continuous uniform distribution\" class= \"wp-image-4499\" width=\"247\" height=\"193\" srcset=\"\" sizes=\"\"&gt;&lt;\/figure&gt;&lt;h2 class=\"wp-block-heading\"&gt;&lt;span class=\"ez-toc -section\" id=\"caracteristicas-de-la-distribucion-uniforme-continua\"&gt;&lt;\/span&gt; Characteristics of the continuous uniform distribution&lt;span class=\"ez-toc-section-end\"&gt;&lt;\/span&gt;&lt;\/h2 &gt; The continuous uniform distribution has the following characteristics: &lt;ul&gt;&lt;li&gt; The continuous uniform distribution is defined by two real parameters, &lt;em&gt;a&lt;\/em&gt; and &lt;em&gt;b&lt;\/em&gt;, which establish the limits in which the probability is constant.&lt;\/li&gt;&lt;\/ul&gt;[latex]a,b\\in \\mathbb{R}\n\n***Error message:\nPlease use \\mathaccent for accents in math mode.\nleading text: ...continuous uniform distribution probability\nPlease use \\mathaccent for accents in math mode.\nleading text: ...if the probability is constant, its representation\nPlease use \\mathaccent for accents in math mode.\nleading text: ...a function with a constant value de\nPlease use \\mathaccent for accents in math mode.\nleading text: ...c a constant value defined in the same\nPlease use \\mathaccent for accents in math mode.\nleading text: ...On the other hand, the probability graph\nPlease use \\mathaccent for accents in math mode.\nleading text: ... part, the cumulative probability graph\nPlease use \\mathaccent for accents in math mode.\nleading text: ...nue-probabilite-cumulative.png\" alt=\"plot\n\n<\/pre>\n<ul>\n<li> Distribusi seragam kontinu hanya dapat mengambil nilai-nilai yang terletak pada interval yang dibentuk oleh <em>a<\/em> dan <em>b<\/em> inklusif.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3d713e1ad32e4d969c10e514cd71b7d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\in [a,b]\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"65\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Rata-rata distribusi seragam kontinu sama dengan jumlah dua parameter karakteristiknya dibagi dua.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-96d92a77b5dce5d38b2b2f3b79ac09a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E[X]=\\cfrac{a+b}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"105\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> Varians suatu distribusi seragam kontinu sama dengan kuadrat selisih antara <em>b<\/em> dan <em>a<\/em> dibagi dua belas.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1f52c10cdd7fb59fca29f8d7703e7495_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{(b-a)^2}{12}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"149\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> Median suatu distribusi seragam kontinu sama dengan meannya, oleh karena itu dihitung dengan menggunakan rumus yang sama:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9acd8c7117f5765f6e47060148e541e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Me=\\cfrac{a+b}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"92\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> Distribusi seragam kontinu bersifat simetris, oleh karena itu koefisien asimetri jenis distribusi ini adalah nol.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f32c2fb2ba717dc1c88c67cb82c26e9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=0\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"46\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> Kurtosis distribusi seragam kontinu tidak bergantung pada parameternya, selalu -6 dibagi 5.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-53318cb30ff0697fd742850c405c7545_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=\\cfrac{-6}{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"71\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> Distribusi seragam baku adalah distribusi seragam kontinu yang parameter <em>a<\/em> dan <em>b<\/em> berturut-turut adalah 0 dan 1. <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be2dbf7d29ed8c8a1220e74498c77d6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim U(0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"92\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-uniforme-continua-y-distribucion-uniforme-discreta\"><\/span> Distribusi seragam kontinu dan distribusi seragam diskrit<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Terakhir, kita akan melihat apa perbedaan antara distribusi seragam kontinu dan distribusi seragam diskrit, karena keduanya adalah distribusi probabilitas yang dapat membingungkan tetapi mewakili konsep yang sangat berbeda.<\/p>\n<p> <strong>Perbedaan utama antara distribusi seragam kontinu dan distribusi seragam diskrit<\/strong> adalah nilai yang dapat diambilnya. Distribusi seragam kontinu didefinisikan dalam ruang sampel kontinu, sedangkan distribusi seragam diskrit didefinisikan dalam ruang sampel diskrit.<\/p>\n<p> Oleh karena itu, distribusi seragam diskrit hanya dapat mengambil beberapa nilai dalam suatu interval, biasanya bilangan bulat, sedangkan distribusi seragam kontinu dapat mengambil nilai apa pun dalam suatu interval, termasuk angka desimal. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/distribusi-seragam-yang-diskrit\/\">Distribusi seragam yang terpisah<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu distribusi seragam berkelanjutan dan kegunaannya. Anda juga akan menemukan grafik distribusi seragam kontinu dan sifat-sifat distribusi jenis ini. Apa yang dimaksud dengan distribusi seragam kontinu? Distribusi seragam kontinu adalah jenis distribusi probabilitas yang semua nilai mempunyai peluang terjadinya yang sama. Dengan kata lain, distribusi seragam kontinu adalah distribusi yang peluangnya [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Distribusi seragam yang berkelanjutan<\/title>\n<meta name=\"description\" content=\"Disini anda akan mengetahui apa itu distribusi seragam kontinu, rumusnya, grafik dan ciri-ciri distribusi seragam kontinu.\" \/>\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-kontinyu-yang-seragam\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Distribusi seragam yang berkelanjutan\" \/>\n<meta property=\"og:description\" content=\"Disini anda akan mengetahui apa itu distribusi seragam kontinu, rumusnya, grafik dan ciri-ciri distribusi seragam kontinu.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/distribusi-kontinyu-yang-seragam\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T23:08:41+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-339036da3788f71282d3936dd092730c_l3.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=\"4 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-kontinyu-yang-seragam\/\",\"url\":\"https:\/\/statorials.org\/id\/distribusi-kontinyu-yang-seragam\/\",\"name\":\"\u25b7 Distribusi seragam yang berkelanjutan\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-08-03T23:08:41+00:00\",\"dateModified\":\"2023-08-03T23:08:41+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Disini anda akan mengetahui apa itu distribusi seragam kontinu, rumusnya, grafik dan ciri-ciri distribusi seragam kontinu.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/distribusi-kontinyu-yang-seragam\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/distribusi-kontinyu-yang-seragam\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-kontinyu-yang-seragam\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Distribusi seragam dan berkesinambungan\"}]},{\"@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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