{"id":208578,"date":"2025-04-27T19:52:23","date_gmt":"2025-04-27T19:52:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=208578"},"modified":"2025-04-27T19:52:25","modified_gmt":"2025-04-27T19:52:25","slug":"you-decided-to-conduct-a-survey-of-families-with-five-children","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/27\/you-decided-to-conduct-a-survey-of-families-with-five-children\/","title":{"rendered":"You decided to conduct a survey of families with five children"},"content":{"rendered":"\n<p>You decided to conduct a survey of families with five children. You are interested in counting the number of girls (out of five children) in each family. Is this a random variable? <\/p>\n\n\n\n<p>A. Maybe<\/p>\n\n\n\n<p> B. Cannot be determined <\/p>\n\n\n\n<p>C. Yes, it is a random variable <\/p>\n\n\n\n<p>D. No, it is not a random variable<\/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. Yes, it is a random variable<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>A <strong>random variable<\/strong> is a variable whose value is subject to variation due to randomness or chance. It can take on different values depending on the outcome of a random process or experiment.<\/p>\n\n\n\n<p>In the scenario described, you are conducting a survey to count the number of girls in families with five children. The number of girls in a family can vary from 0 (no girls, all boys) to 5 (all girls). Since the gender of each child is determined randomly (assuming each child has an equal chance of being a girl or a boy), the number of girls in a family is a result of a random process. Therefore, the number of girls in a family is subject to chance, and it can vary for each family.<\/p>\n\n\n\n<p>This variability in the number of girls, depending on the random gender assignments for each of the five children, makes the count of girls a <strong>random variable<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Key Points:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Random Process<\/strong>: The gender of each child is a random process, where each child has an equal probability of being a girl or a boy. Each child&#8217;s gender is independent of the others, meaning that the outcome for one child doesn&#8217;t affect the outcomes for the others.<\/li>\n\n\n\n<li><strong>Range of Possible Outcomes<\/strong>: The number of girls can vary from 0 to 5, inclusive. This gives it a finite set of possible outcomes, which is a characteristic of discrete random variables.<\/li>\n\n\n\n<li><strong>Random Variable Definition<\/strong>: A random variable must be defined as a numerical quantity that can take on different values depending on the outcome of a random experiment. In this case, the number of girls in the family is the result of a random experiment (assigning genders to the children), and it takes numerical values (0, 1, 2, 3, 4, or 5).<\/li>\n<\/ol>\n\n\n\n<p>In conclusion, the number of girls in each family is a random variable because it is determined by a random process, and its value can vary from one family to another.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>You decided to conduct a survey of families with five children. You are interested in counting the number of girls (out of five children) in each family. Is this a random variable? A. Maybe B. Cannot be determined C. Yes, it is a random variable D. No, it is not a random variable The correct [&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-208578","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208578","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=208578"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208578\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=208578"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=208578"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=208578"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}