Which of the following statement describe a continuous random variable?<\/p>\n\n\n\n
a. The average distance traveled by a jeep in a week<\/p>\n\n\n\n
b. The number of students present in a Class Anthurium <\/p>\n\n\n\n
c. The number of motorcycle owned by a randomly selected household <\/p>\n\n\n\n
d. The number of girls taller than 5 feet in a random sample of 10 girls<\/p>\n\n\n\n
The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n The correct answer is: a. The average distance traveled by a jeep in a week<\/strong>.<\/p>\n\n\n\n A continuous random variable<\/strong> is a variable that can take any value within a given range<\/strong>. It is not limited to isolated, separate numbers but instead can assume an infinite number of possible values<\/strong> within an interval. Examples include measurements like height, weight, time, and distance, where the value could be 5.1, 5.12, 5.123, and so on \u2014 infinitely precise.<\/p>\n\n\n\n Now, let’s analyze each choice carefully:<\/p>\n\n\n\n Among the options, only choice (a)<\/strong> describes a continuous random variable<\/strong> because distance can take on an infinite number of values within a certain range. The other options (b, c, and d) are all discrete random variables<\/strong>, because they involve counting specific, individual items without any fractional possibilities.<\/p>\n","protected":false},"excerpt":{"rendered":" Which of the following statement describe a continuous random variable? a. The average distance traveled by a jeep in a week b. The number of students present in a Class Anthurium c. The number of motorcycle owned by a randomly selected household d. The number of girls taller than 5 feet in a random sample […]<\/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-208539","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208539","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=208539"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/208539\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=208539"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=208539"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=208539"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\nDetailed Explanation:<\/h3>\n\n\n\n
\n
This is a continuous random variable<\/strong> because distance is a measurement. The distance traveled can be 100 miles, 100.5 miles, 100.567 miles, etc. There are no gaps between the possible values \u2014 it could be any value within a range depending on the situation.<\/li>\n\n\n\n
This is a discrete random variable<\/strong>, not continuous. The number of students must be a whole number (e.g., 20, 21, 22 students). You cannot have 21.5 students present. Discrete variables count specific items or people.<\/li>\n\n\n\n
Again, this is discrete<\/strong>. A household can own 0, 1, 2, 3 motorcycles \u2014 but not 2.7 motorcycles. It involves counting, which is characteristic of discrete random variables.<\/li>\n\n\n\n
This is also discrete<\/strong>. We are counting how many girls meet a certain condition (being taller than 5 feet), and the count must be a whole number between 0 and 10.<\/li>\n<\/ul>\n\n\n\n
\n\n\n\nConclusion:<\/h3>\n\n\n\n