{"id":218831,"date":"2025-05-24T13:57:54","date_gmt":"2025-05-24T13:57:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=218831"},"modified":"2025-05-24T13:57:56","modified_gmt":"2025-05-24T13:57:56","slug":"is-the-eye-color-of-people-on-commercial-aircraft-flights-a-discrete-random-variable-a-continuous-random-variable-or-not-a-random-variable","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/24\/is-the-eye-color-of-people-on-commercial-aircraft-flights-a-discrete-random-variable-a-continuous-random-variable-or-not-a-random-variable\/","title":{"rendered":"Is the eye color of people on commercial aircraft flights a discrete random variable, a continuous random variable, or not a random variable"},"content":{"rendered":"\n

Is the eye color of people on commercial aircraft flights a discrete random variable, a continuous random variable, or not a random variable?<\/p>\n\n\n\n

A. It is a continuous random variable.<\/p>\n\n\n\n

B. It is a discrete random variable.<\/p>\n\n\n\n

C. It is not a random variable.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Correct Answer: B. It is a discrete random variable.<\/strong><\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To determine the type of variable, we first need to understand what a random variable<\/strong> is. A random variable<\/strong> is a function that assigns numerical values to the outcomes of a random phenomenon. Random variables can be discrete<\/strong> or continuous<\/strong>:<\/p>\n\n\n\n

    \n
  • Discrete random variables<\/strong> take on countable values, such as the number of children in a family, or the outcome of rolling a die (1 to 6).<\/li>\n\n\n\n
  • Continuous random variables<\/strong> take on an uncountably infinite number of values within a given range, such as height, weight, or temperature, where measurements can take on any value within an interval.<\/li>\n<\/ul>\n\n\n\n

    Now let\u2019s analyze the example: eye color of people on commercial aircraft flights<\/strong>.<\/p>\n\n\n\n

    Eye color refers to categorical values such as brown, blue, green, hazel, gray, etc. Since these are distinct and countable categories, eye color is a qualitative (categorical) variable<\/strong>. However, when used in a statistical context, we often assign numerical codes<\/strong> to these categories (e.g., 1 for brown, 2 for blue, and so on) to allow analysis. Once numerical values are assigned to these categories, we can treat them as a discrete random variable<\/strong> if the outcome (eye color) is subject to chance.<\/p>\n\n\n\n

    For example, suppose we randomly select a passenger from a commercial flight and record their eye color. The outcome depends on the specific individual selected \u2014 a process involving randomness. The number of possible eye colors is finite and countable, so the variable takes on a discrete set of values<\/strong>.<\/p>\n\n\n\n

    It is not a continuous random variable<\/strong>, because eye color is not measured on a continuum. It is also not “not a random variable”<\/strong>, because if the selection of individuals is random, then eye color becomes a random outcome.<\/p>\n\n\n\n

    Conclusion:<\/h3>\n\n\n\n

    The eye color of people on commercial aircraft flights is a discrete random variable<\/strong> because it takes on countable, categorical values determined through a random process.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    Is the eye color of people on commercial aircraft flights a discrete random variable, a continuous random variable, or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable. C. It is not a random variable. The Correct Answer and Explanation is: Correct Answer: B. It is […]<\/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-218831","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/218831","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=218831"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/218831\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=218831"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=218831"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=218831"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}