{"id":208533,"date":"2025-04-27T18:49:15","date_gmt":"2025-04-27T18:49:15","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=208533"},"modified":"2025-04-27T18:49:17","modified_gmt":"2025-04-27T18:49:17","slug":"a-set-of-numerical-values-assigned-to-a-sample-space-is-called","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/27\/a-set-of-numerical-values-assigned-to-a-sample-space-is-called\/","title":{"rendered":"A set of numerical values assigned to a sample space is called"},"content":{"rendered":"\n<p>A set of numerical values assigned to a sample space is called <\/p>\n\n\n\n<p>a. Random experiment <\/p>\n\n\n\n<p>b. Random sample <\/p>\n\n\n\n<p>c. Random variable <\/p>\n\n\n\n<p>d. None of the above<\/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>c. Random variable<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>In probability and statistics, a <strong>random variable<\/strong> is a fundamental concept. It refers to a set of numerical values that are assigned to the outcomes of a random process or experiment. Essentially, a random variable maps every outcome in the sample space to a real number.<\/p>\n\n\n\n<p>Let\u2019s break this down:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>sample space<\/strong> is the set of all possible outcomes of a random experiment. For example, when tossing a coin, the sample space is {Heads, Tails}.<\/li>\n\n\n\n<li>A <strong>random variable<\/strong> takes these outcomes and assigns them numerical values. For example, you could define a random variable ( X ) where ( X = 1 ) if the coin lands on Heads and ( X = 0 ) if it lands on Tails.<\/li>\n<\/ul>\n\n\n\n<p>There are two main types of random variables:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Discrete random variables<\/strong>, which take on countable values (like 0, 1, 2, 3, etc.).<\/li>\n\n\n\n<li><strong>Continuous random variables<\/strong>, which can take on any value within a given range (like any real number between 0 and 1).<\/li>\n<\/ul>\n\n\n\n<p>Now, let\u2019s quickly review the other options:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>a. Random experiment<\/strong>: This refers to any action or process that leads to a set of outcomes. Tossing a die is a random experiment, but it does not involve assigning numerical values by itself.<\/li>\n\n\n\n<li><strong>b. Random sample<\/strong>: This refers to a set of observations drawn from a population, often used for making statistical inferences. It is different from assigning numbers to outcomes.<\/li>\n\n\n\n<li><strong>d. None of the above<\/strong>: Incorrect, because <strong>random variable<\/strong> is the correct answer.<\/li>\n<\/ul>\n\n\n\n<p>Thus, <strong>a set of numerical values assigned to a sample space is properly called a random variable<\/strong>, and it plays a critical role in linking real-world experiments to mathematical models in probability and statistics.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A set of numerical values assigned to a sample space is called a. Random experiment b. Random sample c. Random variable d. None of the above The correct answer and explanation is : The correct answer is: c. Random variable Explanation: In probability and statistics, a random variable is a fundamental concept. It refers to [&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-208533","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208533","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=208533"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208533\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=208533"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=208533"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=208533"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}