{"id":208553,"date":"2025-04-27T19:30:07","date_gmt":"2025-04-27T19:30:07","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=208553"},"modified":"2025-04-27T19:30:09","modified_gmt":"2025-04-27T19:30:09","slug":"which-of-the-following-is-discrete-random-variable","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/27\/which-of-the-following-is-discrete-random-variable\/","title":{"rendered":"Which of the following is discrete random variable"},"content":{"rendered":"\n<p>Which of the following is discrete random variable? <\/p>\n\n\n\n<p>a. Jerwin is 165 cm tall <\/p>\n\n\n\n<p>b. Jerwin has three sisters <\/p>\n\n\n\n<p>c. Jerwin weighs 68 kilograms<\/p>\n\n\n\n<p> d. Jerwin ran 500 meters in two minutes<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is <strong>b. Jerwin has three sisters.<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>A <strong>discrete random variable<\/strong> is a variable that can take only specific, distinct values. These values are countable and often involve whole numbers. Discrete variables are often associated with counting something, such as the number of people, items, or occurrences of an event.<\/p>\n\n\n\n<p>Let\u2019s analyze each option:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Jerwin is 165 cm tall<\/strong>:<br>This is a measurement of height, which can take any value within a range and is not restricted to whole numbers. Height is a <strong>continuous variable<\/strong>, meaning it can be any value within a given range (e.g., 165.1 cm, 165.01 cm, etc.). Continuous variables can take an infinite number of values within a certain range.<\/li>\n\n\n\n<li><strong>Jerwin has three sisters<\/strong>:<br>This is a count of something\u2014<strong>the number of sisters Jerwin has<\/strong>. The number of sisters is a specific, countable value (in this case, three), and it cannot be a fraction or decimal. Thus, it is a <strong>discrete random variable<\/strong> because it involves counting distinct occurrences (sisters), which can only take integer values.<\/li>\n\n\n\n<li><strong>Jerwin weighs 68 kilograms<\/strong>:<br>Weight is a measurement, and similar to height, it is a <strong>continuous variable<\/strong>. Jerwin could weigh 68.1 kilograms, 68.01 kilograms, or any other value within a range. Continuous variables can take an infinite number of values within their range.<\/li>\n\n\n\n<li><strong>Jerwin ran 500 meters in two minutes<\/strong>:<br>The distance Jerwin ran is a <strong>continuous variable<\/strong> because distance can be measured with great precision and could theoretically take any value within a range. For example, Jerwin could have run 500.5 meters, 500.02 meters, etc.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>A <strong>discrete random variable<\/strong> involves countable values (e.g., the number of sisters, which can only be a whole number), whereas continuous variables can take any value within a given range. Therefore, the correct answer is <strong>b. Jerwin has three sisters<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which of the following is discrete random variable? a. Jerwin is 165 cm tall b. Jerwin has three sisters c. Jerwin weighs 68 kilograms d. Jerwin ran 500 meters in two minutes The correct answer and explanation is : The correct answer is b. Jerwin has three sisters. Explanation: A discrete random variable is a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-208553","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208553","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=208553"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208553\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=208553"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=208553"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=208553"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}