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solve a question on Bernoulli's principle! 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video details how to find fisher's information from a Bernoulli distribution . below. 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Join our WhatsApp group, link below: https://l1nk.dev/8KNNf +2348035415248 or...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3484021/1943d1d0b7249afc35f738f6e81ecd2e/564x318_1"},"target":"_self","position":"6","reqid":"1765287563845168-9551986156159077596-balancer-l7leveler-kubr-yp-klg-81-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7gkmcUHCacA","linkTemplate":"/video/preview/16577289695218746976?parent-reqid=1765287563845168-9551986156159077596-balancer-l7leveler-kubr-yp-klg-81-BAL&text=Bernuolli+Academy&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Fisher information I Bernoulli distribution @content-academy","related_orig_text":"Bernuolli Academy","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Bernuolli Academy\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7gkmcUHCacA\",\"src\":\"serp\",\"rvb\":\"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-wD79A7-CAX9AQwN9ff1AAAA8w_29AMB_wD69P0H_AAAAAYV9QD9AAAA7AcEBvABAQAWA_sHBAAAABoE_Av_AAAAFPjy-P8BAADmAf0AAwAAABP3DQ0AAAAADvIBAgAA_wEAEA30AAAAAAD5_PgAAAAAIAAteKTGOzgTQAlITlACKnMQABpgAhwADv4K_Pb_Fgb8A-wF_f_sAQHzAAAM5gABEwTqDwzk3ggGABfz_gnfAAAA_AL3FQEA7yQH--oG_wz0_O_5Bg9_BRH_8vkQAgYBA_8ZEwgJGQ4PAAwMBPsw8eUOFQcKIAAtpcqrOzgTQAlIb1ACKq8GEAwaoAYAAOBAAACoQQAAgEIAACzCAAAgwgAAUMEAAMpCAACQQQAAKMIAAMDBAAAwQQAAPEIAAKhBAACAQQAAgEEAABDCAACSQgAAwMEAAIxCAADQwQAAYMEAAADCAACcwgAANEIAAJBBAAAUwgAA6MEAAJBBAAAwQQAAcEIAABDCAACoQQAAgMAAABhCAAB8wgAAoEEAADBBAAAEQgAAMMEAAGRCAACQwQAAoMEAAMjBAAA0wgAA4MAAACDCAACAQAAAgL8AAFhCAABwQQAAYMEAAEBAAACgwAAAwEAAAMBBAABAwAAAeMIAAPBBAAAwQQAAVEIAALjBAACowQAAjsIAAIDBAADgwAAAisIAAMDAAADiwgAAgMEAACDBAAAcQgAALEIAAIDBAACAQAAAgMAAADjCAACKwgAA-MEAAMhBAABwQQAAHMIAAERCAAAwwQAAMMIAAI5CAACkQgAAhsIAANjBAAAIQgAAiMEAAIDBAACAQQAAYMEAAJBBAAAMQgAAisIAACRCAACAwAAAYEEAAJJCAAD4wQAAMEIAADBBAADowQAAlMIAAIC_AACoQQAA0EEAAADCAABkQgAAPEIAAHBBAACYQQAAwMAAAOBBAACSQgAAgL8AAKBAAAAAQgAAeMIAADxCAACAvwAAgD8AAFDCAABEQgAAFMIAAEDBAABMwgAAjsIAAPjBAACwwQAAhMIAAIBAAACkQgAA8EEAANhBAACgwAAAYEEAAFDBAABQwgAAMEIAAMBAAADwQQAAqMEAAJBBAAAAQAAAEMEAAMDAAACgwAAAgEAAAOjBAACQQQAA0EEAAODAAABswgAAGMIAAK7CAACQQQAAjsIAAHBBAAAAwQAAUEIAAGBBAADwQQAANEIAAHBCAABAwQAAIEEAAFBCAAA8wgAAkMIAAJBBAAAkQgAAEMEAAKBBAAA4QgAAtkIAAMjBAAAwQQAAYEIAAHDCAAC-wgAAgMEAAEDBAABgQQAAlsIAAJLCAADwQQAADMIAAABCAADAQAAAIEEAACzCAABQwQAAkEEAAKhBAABgwgAAJEIAAJjBAAB4wiAAOBNACUh1UAEqjwIQABqAAgAAPD4AAKi9AAAcPgAAgj4AAPi9AAAcPgAAmD0AACm_AAD6vgAAUD0AACw-AAA0vgAAoLwAADQ-AACCvgAAVL4AADA9AAAwPQAAmD0AALY-AAB_PwAAyL0AAKC8AAAEPgAAoLwAAGy-AABAPAAAbL4AAKC8AACoPQAAij4AAHA9AABEvgAAHD4AABw-AAB0vgAAFD4AAIK-AADyvgAAuL0AANi9AACmvgAA4LwAADy-AACIPQAAQLwAAJ4-AAAFvwAAoLwAALa-AADYPQAAqL0AAOA8AADovQAAhr4AAJi9AAATPwAAdD4AAFC9AADePgAAgj4AAOg9AAAwPQAADL4gADgTQAlIfFABKo8CEAEagAIAAMi9AADgPAAABL4AAC-_AACCvgAAQLwAAIo-AADYPQAAUD0AAIo-AAAQPQAAnr4AAEC8AADSvgAAED0AAKC8AADIPQAAPz8AAEw-AACuPgAA4DwAAMg9AAAwPQAAqD0AANi9AACOPgAAcD0AAFw-AACovQAAhr4AALg9AAAEvgAAij4AABA9AABcPgAAVL4AAFw-AADYPQAAnr4AAGQ-AADOPgAAnj4AAOg9AAAcvgAAfL4AAKC8AAB_vwAAgDsAAGS-AACovQAAHL4AAIg9AAA0PgAAqD0AAPo-AAAQPQAAcL0AAFQ-AAB8vgAAdL4AAIi9AAA0PgAAyL0AAEQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=7gkmcUHCacA","parent-reqid":"1765287563845168-9551986156159077596-balancer-l7leveler-kubr-yp-klg-81-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16577289695218746976"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8125517179918024329":{"videoId":"8125517179918024329","docid":"34-7-3-ZBC30150B337D10FD","description":"Bernoulli Difereransiyel Denklemi, çözülebilen sınırlı sayıda birinci mertebe denklemden birisidir. Denklem, özel bir dönüşüm yardımıyla lineer diferansiyel denkleme dönüştürülür.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1370269/74e2a4bc8e04914e412e55926a3e000b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/zGueIwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1765287563845168-9551986156159077596-balancer-l7leveler-kubr-yp-klg-81-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765287563845168-9551986156159077596-balancer-l7leveler-kubr-yp-klg-81-BAL&text=videoid:8125517179918024329","teaser":[{"list":{"type":"unordered","items":["Bu video, Platon Akademi kanalında yayınlanan bir matematik dersidir. Bir eğitmen, birinci mertebeden başlangıç değer problemi çözümünü adım adım anlatmaktadır.","Videoda, y üzeri eksi üç terim içeren bir Bernoulli diferansiyel denkleminin çözümü gösterilmektedir. Eğitmen önce denklemin Bernoulli denklemi olduğunu belirleyip, y'nin kuvvetini yok etmek için v = y üzeri dört dönüşümü yapar. Ardından bu dönüşümü kullanarak denklemi lineer bir denkleme indirgeyip, integral çarpanı yöntemiyle çözer. Son olarak, y(1) = 2 başlangıç değerini kullanarak c sabitini bulup, çözümün y üzeri dört x = x kare + 15/x² olduğunu gösterir."]},"endTime":480,"title":"Bernoulli Denklemi ile Başlangıç Değer Problemi Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Bernoulli Diferansiyel Denkleminin Tanımlanması","list":{"type":"unordered","items":["Birinci mertebeden başlangıç değer problemi çözülecek ve denklemin tipi belirlenecek.","Denklemin sağ tarafında y üzeri eksi üç olduğu için Bernoulli denklemi olabileceği düşünülüyor.","Denklem g üssü artı bir bölü iki x çarpı y eşittir x çarpı y üzeri eksi üç biçiminde yazıldığında, eksi üç dereceden Bernoulli diferansiyel denklemi olduğu görülüyor."]},"beginTime":1,"endTime":51,"href":"/video/preview/8125517179918024329?parent-reqid=1765287563845168-9551986156159077596-balancer-l7leveler-kubr-yp-klg-81-BAL&text=Bernuolli+Academy&t=1&ask_summarization=1"},{"index":1,"title":"Bernoulli Denkleminin Çözümü İçin Dönüşüm","list":{"type":"unordered","items":["Bernoulli diferansiyel denklemlerini çözerken sağda bulunan y'nin kuvveti olan terimi yok etmek gerekiyor.","Denklemin her iki tarafı küp çarpılarak ve v = y üzeri dört dönüşümü yapılarak, denklem v ve x değişkenleri için lineer bir denkleme indirgeniyor.","Dönüşüm sonrası denklem v üssü artı iki x çarpı v eşittir dört x haline dönüşüyor."]},"beginTime":51,"endTime":224,"href":"/video/preview/8125517179918024329?parent-reqid=1765287563845168-9551986156159077596-balancer-l7leveler-kubr-yp-klg-81-BAL&text=Bernuolli+Academy&t=51&ask_summarization=1"},{"index":2,"title":"Lineer Denklemin Çözümü","list":{"type":"unordered","items":["Birinci mertebeden lineer denklemler integral çarpanı ile çözülüyor.","İntegral çarpanı e üzeri iki integral bir bölü x dx olarak bulunuyor ve x kare olarak hesaplanıyor.","Denklemin her iki tarafı integral çarpanı ile çarpılarak, sol taraf x kare çarpı v'nin parantez türevi şeklinde yazılabilir."]},"beginTime":224,"endTime":327,"href":"/video/preview/8125517179918024329?parent-reqid=1765287563845168-9551986156159077596-balancer-l7leveler-kubr-yp-klg-81-BAL&text=Bernuolli+Academy&t=224&ask_summarization=1"},{"index":3,"title":"Çözümün Tamamlanması ve Başlangıç Değer Problemi","list":{"type":"unordered","items":["Her iki tarafın integrali alındığında v eşittir dört bölü x kare x üzeri dört bölü dört artı c bulunuyor.","Orijinal değişken y için y üzeri dört eşittir x kare artı dört c bölü x kare olarak çözüm elde ediliyor.","Başlangıç değer problemi için y(1) = 2 koşulu kullanılarak c = 15/4 bulunuyor ve çözüm y üzeri dört x eşittir x kare artı 15/x kare olarak 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is a video titled "Bernoulli Distribution" from the BUders university mathematics course Probability and Statistics. Prepared by: Kemal Duran (Mathematics Teacher). 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Dersin son bölümünde ise iki örnek soru çözülerek teorik bilgiler uygulamalı olarak gösterilmektedir: bir deste iskambilden çekilen kağıdın az olup olmaması ve para atma denemesinde yazı gelme olasılığı hesaplamaları."]},"endTime":652,"title":"Bernoulli Dağılımı Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Bernoulli Dağılımı Tanıtımı","list":{"type":"unordered","items":["Bernoulli dağılımı ayrık olasılık dağılımının bir çeşididir ve deneylerin incelenmesinde kullanılır.","Bernoulli dağılımı, başarı ve başarısızlık olmak üzere iki sonuçla sonuçlanan denemeler için kullanılır.","Bernoulli dağılımında sonuçlar genellikle başarılı-yaşamayan, doğru-yanlış, yaptı-yapmadı gibi iki kategoriye ayrılır."]},"beginTime":1,"endTime":80,"href":"/video/preview/5240473695278530908?parent-reqid=1765287563845168-9551986156159077596-balancer-l7leveler-kubr-yp-klg-81-BAL&text=Bernuolli+Academy&t=1&ask_summarization=1"},{"index":1,"title":"Bernoulli Dağılımının Olasılık 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kullanılır."]},"beginTime":165,"endTime":330,"href":"/video/preview/5240473695278530908?parent-reqid=1765287563845168-9551986156159077596-balancer-l7leveler-kubr-yp-klg-81-BAL&text=Bernuolli+Academy&t=165&ask_summarization=1"},{"index":3,"title":"Örnek Soru Çözümü","list":{"type":"unordered","items":["Bir deste iskambilden çekilen kağıdın as olup olmaması durumunda, as gelmesi başarı olarak ifade edildiğinde olasılık fonksiyonu P(X) = (4/52)^x * (48/52)^(1-x) şeklindedir.","Para atma denemesinde yazı gelme olasılığı 1/2 olduğunda olasılık fonksiyonu P(X) = (1/2)^x * (1/2)^(1-x) 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