{"id":93194,"date":"2021-06-04T15:39:37","date_gmt":"2021-06-04T10:09:37","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=93194"},"modified":"2021-06-04T15:41:03","modified_gmt":"2021-06-04T10:11:03","slug":"ncert-solutions-class-12-maths-chapter-13-exercise-13-4","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/","title":{"rendered":"NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4"},"content":{"rendered":"\n<p>NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4 is based on the Exercise Random Variables and its probability distributions. This Exercise also includes the topics such as the probability distribution of a random variable, the mean of a random variable, and the variance of the Random variable. You can download the PDF for the solutions of Chapter 13 Exercise 13.4. Solving these problems for Exercise 13.4 will help you to get through with the concepts and the topics which are covered in this exercise.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-13-probability\/\"><strong>NCERT Solutions for Class 12 Maths Chapter 13 Probability<\/strong><\/a><\/li>\n<\/ul>\n<p>In this article, you can easily download the PDF for the NCERT Solutions <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths\/\"><strong>Class 12 Maths<\/strong><\/a> Chapter 13 Exercise 13.4<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d78d00bb375\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69d78d00bb375\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/#download-free-pdf-for-ncert-solutions-class-12-maths-chapter-13-exercise-134\" title=\"Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4\">Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/#detailed-topics-included-in-ncert-solutions-class-12-maths-chapter-13-exercise-134\" title=\"Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4\">Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/#access-to-other-exercise-of-class-12-chapter-13\" title=\"Access to Other Exercise Of Class 12 Chapter 13\">Access to Other Exercise Of Class 12 Chapter 13<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/#faq-ncert-solutions-class-12-maths-chapter-13-exercise-134\" title=\"FAQ: NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4\">FAQ: NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/#how-many-questions-are-there-in-ncert-solutions-class-12-maths-chapter-13-exercise-134\" title=\"How many questions are there in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4?\">How many questions are there in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/#what-are-the-topics-on-which-ncert-solutions-for-class-12-maths-chapter-13-exercise-134-is-based\" title=\"What are the topics on which NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.4 is based? \">What are the topics on which NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.4 is based? <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/#what-is-a-random-variable\" title=\"What is a Random Variable?\">What is a Random Variable?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/#what-are-the-types-of-random-variable\" title=\"What are the types of random variable?\">What are the types of random variable?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/#what-is-mean-of-random-variable\" title=\"What is mean of random variable?\">What is mean of random variable?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/#what-is-variance-of-random-variable\" title=\"What is variance of random variable?\">What is variance of random variable?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/#is-it-possible-to-download-the-ncert-solutions-of-class-12-maths-chapter-13-exercise-134-for-free\" title=\"Is it possible to download the NCERT Solutions of Class 12 Maths Chapter 13 Exercise 13.4 for free?\">Is it possible to download the NCERT Solutions of Class 12 Maths Chapter 13 Exercise 13.4 for free?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-free-pdf-for-ncert-solutions-class-12-maths-chapter-13-exercise-134\"><\/span>Download Free PDF for NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/06\/13.4-1.pdf\" target=\"_blank\" rel=\"noopener\">NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.4<\/a><\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/06\/13.4-1.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"detailed-topics-included-in-ncert-solutions-class-12-maths-chapter-13-exercise-134\"><\/span>Detailed topics included in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A random variable is a rule that assigns a numerical cost to every final result in pattern space.<\/p>\n<p>Random variables can be both discrete or continuous. A random variable is stated to be discrete if it assumes the handiest exact values in an interval. Otherwise, it&#8217;s miles continuous. We commonly denote the random variables with capital letters inclusive of X and Y. When X takes values 1, 2, 3, \u2026, it&#8217;s miles stated to have a discrete random variable.<\/p>\n<p>Types of Random Variable<\/p>\n<ul>\n<li>Discrete Random Variable<\/li>\n<li>Continuous Random Variable<\/li>\n<\/ul>\n<p>The opportunity distribution of a random variable can be a Theoretical list of consequences and chances of the consequences. An experimental list of consequences related to their determined relative frequencies. A subjective list of consequences related to their subjective chances. The opportunity of a random variable X which takes the values x is described as a opportunity characteristic of X is denoted through f (x) = f (X = x) A opportunity distribution continually satisfies conditions: f(x)\u22650 \u2211f(x)=1<\/p>\n<p>The mean of random variables with one-of-a-kind chance distributions will have identical values. Hence, suggest fails to provide an explanation for the range of values in the chance distribution. Therefore, a variance of a random variable is described to the degree of the unfolding and scatter in data.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-to-other-exercise-of-class-12-chapter-13\"><\/span>Access to Other Exercise Of Class 12 Chapter 13<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-1\/\">Chapter 13: Exercise 13.1<\/a><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-2\/\">Chapter 13: Exercise 13.2<\/a><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-3\/\">Chapter 13: Exercise 13.3<\/a><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-5\/\">Chapter 13: Exercise 13.5<\/a><\/p>\n<p>Don\u2019t wait any longer. Download the <a href=\"https:\/\/ncert.nic.in\/\" target=\"_blank\" rel=\"noopener\">NCERT<\/a> answer for workout thirteen.2 in Chapter thirteen of Mathematics for kind 12. All those answers could be of extraordinary assist at some stage in the practice of the exam.<\/p>\n<p>To get the fine rating in class, it&#8217;s miles very essential to recognize all of the principles withinside the textbook and to clear up the issues withinside the sporting events given in those answers.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"faq-ncert-solutions-class-12-maths-chapter-13-exercise-134\"><\/span>FAQ: NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1622548701927\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-ncert-solutions-class-12-maths-chapter-13-exercise-134\"><\/span>How many questions are there in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are 17 questions in NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622548759400\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-topics-on-which-ncert-solutions-for-class-12-maths-chapter-13-exercise-134-is-based\"><\/span>What are the topics on which NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.4 is based? <span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can refer to the above article to have a look at the topics on which NCERT Solutions for Class 12 Maths Chapter 13 Exercise 13.4 is based.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622548813814\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-a-random-variable\"><\/span>What is a Random Variable?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>A random variable is a rule that assigns a numerical cost to every final result in pattern space.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622548844738\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-types-of-random-variable\"><\/span>What are the types of random variable?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Types of Random Variable:-<br \/>Discrete Random Variable<br \/>Continuous Random Variable<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622548876469\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-mean-of-random-variable\"><\/span>What is mean of random variable?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The mean of random variables with one-of-a-kind chance distributions will have identical values.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622548916758\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-variance-of-random-variable\"><\/span>What is variance of random variable?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>a variance of a random variable is described to the degree the unfold and scatter in data.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622548942505\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"is-it-possible-to-download-the-ncert-solutions-of-class-12-maths-chapter-13-exercise-134-for-free\"><\/span>Is it possible to download the NCERT Solutions of Class 12 Maths Chapter 13 Exercise 13.4 for free?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can download NCERT Solutions of Class 12 Maths Chapter 13 Exercise 13.4 from the above article. <\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4 is based on the Exercise Random Variables and its probability distributions. This Exercise also includes the topics such as the probability distribution of a random variable, the mean of a random variable, and the variance of the Random variable. You can download the PDF for the &#8230; <a title=\"NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-13-exercise-13-4\/\" aria-label=\"More on NCERT Solutions Class 12 Maths Chapter 13 Exercise 13.4\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":93928,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73413,2917,73693,73712,2985],"tags":[75460,75399,75408],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93194"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/244"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=93194"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93194\/revisions"}],"predecessor-version":[{"id":93960,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/93194\/revisions\/93960"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/93928"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=93194"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=93194"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=93194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}