{"id":1426,"date":"2023-07-26T10:48:30","date_gmt":"2023-07-26T10:48:30","guid":{"rendered":"https:\/\/statorials.org\/id\/rata-rata-distribusi-probabilitas\/"},"modified":"2023-07-26T10:48:30","modified_gmt":"2023-07-26T10:48:30","slug":"rata-rata-distribusi-probabilitas","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/rata-rata-distribusi-probabilitas\/","title":{"rendered":"Cara mencari rata-rata distribusi probabilitas: dengan contoh"},"content":{"rendered":"

<\/p>\n

\n

Distribusi probabilitas memberi tahu kita probabilitas suatu variabel acak mengambil nilai tertentu.<\/span><\/p>\n

Misalnya, distribusi probabilitas berikut memberi tahu kita probabilitas bahwa tim sepak bola tertentu akan mencetak sejumlah gol dalam pertandingan tertentu:<\/span> <\/p>\n

\"\"<\/p>\n

Catatan:<\/strong> Probabilitas dalam distribusi probabilitas yang valid akan selalu berjumlah 1. Kita dapat memastikan bahwa distribusi probabilitas ini valid: 0,18 + 0,34 + 0,35 + 0,11 + 0,02 = 1.<\/em><\/span><\/p>\n

Untuk mencari mean<\/strong> (terkadang disebut “nilai yang diharapkan”) dari suatu distribusi probabilitas, kita dapat menggunakan rumus berikut:<\/span><\/p>\n

 Mean (Or \"Expected Value\") of a Probability Distribution:<\/span>\n\n\u03bc = \u03a3x * P(x)\n<\/span>\nwhere:\n\u2022x: Data value\n    \u2022P(x): Probability of value<\/span><\/strong><\/pre>\n
 Misalnya, pertimbangkan distribusi probabilitas kami untuk tim sepak bola:<\/span> <\/p>\n
\"\"<\/p>\n
 Jumlah rata-rata gol tim sepak bola akan dihitung sebagai berikut:<\/span><\/p>\n
 \u03bc = 0*0,18 + 1*0,34 + 2*0,35 + 3*0,11 + 4*0,02 = 1,45<\/strong> gol.<\/span><\/p>\n
 Contoh berikut menunjukkan cara menghitung rata-rata distribusi probabilitas dalam beberapa skenario lainnya.<\/span><\/p>\n
 Contoh 1: Jumlah rata-rata kerusakan kendaraan<\/strong><\/span><\/h3>\n
 Distribusi probabilitas berikut memberi tahu kita probabilitas bahwa suatu kendaraan akan mengalami sejumlah kegagalan baterai selama periode 10 tahun:<\/span> <\/p>\n
\"Contoh<\/p>\n
 Pertanyaan:<\/strong> Berapa rata-rata jumlah kerusakan yang diperkirakan terjadi pada kendaraan ini?<\/span><\/p>\n
 Solusi:<\/strong> Jumlah rata-rata kegagalan yang diharapkan dihitung sebagai berikut:<\/span><\/p>\n
 \u03bc = 0*0,24 + 1*0,57 + 2*0,16 + 3*0,03 = 0,98<\/b> kegagalan.<\/span><\/p>\n
 Contoh 2: jumlah rata-rata kemenangan<\/strong><\/span><\/h3>\n
 Distribusi probabilitas berikut memberi tahu kita probabilitas bahwa tim bola basket tertentu akan memenangkan sejumlah pertandingan dalam sebuah turnamen:<\/span> <\/p>\n
\"Rata-rata<\/p>\n
 Pertanyaan:<\/strong> Berapa rata-rata jumlah kemenangan yang diharapkan untuk tim ini?<\/span><\/p>\n
 Solusi:<\/strong> Jumlah rata-rata kemenangan yang diharapkan dihitung sebagai berikut:<\/span><\/p>\n
 \u03bc = 0*0,06 + 1*0,15 + 2*0,17 + 3*0,24 + 4*0,23 + 5*0,09 + 6*0,06 = 2,94<\/b> kemenangan.<\/span><\/p>\n
 Contoh 3: jumlah rata-rata penjualan<\/strong><\/span><\/h3>\n
 Distribusi probabilitas berikut memberi tahu kita probabilitas bahwa penjual tertentu akan menghasilkan sejumlah penjualan tertentu pada bulan mendatang:<\/span> <\/p>\n
\"\"<\/p>\n
 Pertanyaan:<\/strong> Berapa rata-rata jumlah penjualan yang diharapkan untuk penjual ini di bulan mendatang?<\/span><\/p>\n
 Solusi:<\/strong> Jumlah rata-rata penjualan yang diharapkan dihitung sebagai berikut:<\/span><\/p>\n
 \u03bc = 10*0,24 + 20*0,31 + 30*0,39 + 40*0,06 = 22,7<\/b> kotor.<\/span><\/p>\n
 Bonus: Kalkulator Distribusi Probabilitas<\/strong><\/span><\/h3>\n
 Anda dapat menggunakan kalkulator ini untuk menghitung rata-rata distribusi probabilitas secara otomatis.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
Distribusi probabilitas memberi tahu kita probabilitas suatu variabel acak mengambil nilai tertentu. Misalnya, distribusi probabilitas berikut memberi tahu kita probabilitas bahwa tim sepak bola tertentu akan mencetak sejumlah gol dalam pertandingan tertentu: Catatan: Probabilitas dalam distribusi probabilitas yang valid akan selalu berjumlah 1. Kita dapat memastikan bahwa distribusi probabilitas ini valid: 0,18 + 0,34 + […]<\/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":"\nCara Mencari Rata-Rata Distribusi Probabilitas (dengan Contoh) - Statorial<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara mencari mean dari setiap distribusi probabilitas, termasuk rumus yang digunakan 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\/rata-rata-distribusi-probabilitas\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara Mencari Rata-Rata Distribusi Probabilitas (dengan Contoh) - Statorial\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara mencari mean dari setiap distribusi probabilitas, termasuk rumus yang digunakan dan beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/rata-rata-distribusi-probabilitas\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T10:48:30+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyennedist1.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=\"1 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/rata-rata-distribusi-probabilitas\/\",\"url\":\"https:\/\/statorials.org\/id\/rata-rata-distribusi-probabilitas\/\",\"name\":\"Cara Mencari Rata-Rata Distribusi Probabilitas (dengan Contoh) - Statorial\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-26T10:48:30+00:00\",\"dateModified\":\"2023-07-26T10:48:30+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara mencari mean dari setiap distribusi probabilitas, termasuk rumus yang digunakan dan beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/rata-rata-distribusi-probabilitas\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/rata-rata-distribusi-probabilitas\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/rata-rata-distribusi-probabilitas\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara mencari rata-rata distribusi probabilitas: dengan contoh\"}]},{\"@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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