{"id":208170,"date":"2025-04-26T08:27:38","date_gmt":"2025-04-26T08:27:38","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=208170"},"modified":"2025-04-26T08:27:40","modified_gmt":"2025-04-26T08:27:40","slug":"which-of-the-following-are-not-discrete-random-variables","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/26\/which-of-the-following-are-not-discrete-random-variables\/","title":{"rendered":"Which of the following are not discrete random variables"},"content":{"rendered":"\n

Which of the following are not discrete random variables?<\/p>\n\n\n\n

small
large
Select one:<\/p>\n\n\n\n

a. 3 only
b. All of them
c. 1 only
d. 2 only
e. 1 and 3 only<\/p>\n\n\n\n

The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n

The correct answer is: b. All of them<\/strong><\/p>\n\n\n\n

\n\n\n\n

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

To understand this question, we first need to define discrete random variables<\/strong> and then analyze the given options: small<\/strong> and large<\/strong>, along with the mysterious numbered options (1, 2, 3).<\/p>\n\n\n\n

1. What is a discrete random variable?<\/strong><\/h4>\n\n\n\n

A discrete random variable<\/strong> is a type of variable that can take only specific, distinct values<\/strong>, typically countable numbers<\/strong>. For example, the number of heads in 10 coin tosses (0, 1, 2, \u2026, 10) is a discrete random variable because it can only take whole number values.<\/p>\n\n\n\n

Examples of discrete random variables:<\/p>\n\n\n\n

    \n
  • Number of students in a class.<\/li>\n\n\n\n
  • Number of cars in a parking lot.<\/li>\n\n\n\n
  • Number of goals scored in a game.<\/li>\n<\/ul>\n\n\n\n

    Discrete variables do not<\/strong> include values that are in between integers, such as 2.5 or \u221a3.<\/p>\n\n\n\n

    2. Now consider the given options: “small” and “large”<\/strong><\/h4>\n\n\n\n

    The words \u201csmall\u201d<\/strong> and \u201clarge\u201d<\/strong> are qualitative or categorical descriptors<\/strong>, not numbers. They describe qualities or properties rather than measurable numerical values. These words are not variables in the statistical sense<\/strong> and definitely not random variables<\/strong> because:<\/p>\n\n\n\n

      \n
    • They cannot be measured numerically.<\/li>\n\n\n\n
    • They are not the result of a random experiment.<\/li>\n\n\n\n
    • They are not countable numeric outcomes<\/strong>.<\/li>\n<\/ul>\n\n\n\n

      So, neither “small” nor “large” can be discrete random variables<\/strong> because discrete random variables must be numerical and countable.<\/p>\n\n\n\n

      3. The answer options reference 1, 2, 3 \u2013 but these are not clearly defined in the question.<\/strong><\/h4>\n\n\n\n

      Despite that, the key clue is that the question is about which of the given options (\u201csmall\u201d and \u201clarge\u201d) are not discrete random variables<\/strong>. Since both are not discrete random variables<\/strong>, the correct response must be \u201cAll of them\u201d<\/strong> \u2014 meaning both<\/strong> do not<\/strong> qualify as discrete random variables.<\/p>\n\n\n\n

      \n\n\n\n

      Final Answer:<\/h3>\n\n\n\n

      b. All of them<\/strong> \u2705<\/p>\n\n\n\n

      Would you like help rewriting the question for clarity?<\/p>\n","protected":false},"excerpt":{"rendered":"

      Which of the following are not discrete random variables? smalllargeSelect one: a. 3 onlyb. All of themc. 1 onlyd. 2 onlye. 1 and 3 only The correct answer and explanation is : The correct answer is: b. All of them Explanation: To understand this question, we first need to define discrete random variables and then […]<\/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-208170","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208170","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=208170"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208170\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=208170"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=208170"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=208170"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}