{"id":153784,"date":"2023-07-31T16:00:44","date_gmt":"2023-07-31T10:30:44","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153784"},"modified":"2023-07-31T16:00:48","modified_gmt":"2023-07-31T10:30:48","slug":"the-probability-density-function-of-a-continuous-random-variable-distributed-uniformly-between-x-and-y-for-y-x-is","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-probability-density-function-of-a-continuous-random-variable-distributed-uniformly-between-x-and-y-for-y-x-is\/","title":{"rendered":"The probability density function of a continuous random variable distributed uniformly between x and y (for y > x) is"},"content":{"rendered":"\n<p>Q. The probability density function of a continuous random variable distributed uniformly between <em>x <\/em>and <em>y <\/em>(for <em>y <\/em>> <em>x<\/em>) is<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-450.png\" alt=\"\" class=\"wp-image-153785\" width=\"696\" height=\"73\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-450.png 766w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-450-300x31.png 300w\" sizes=\"(max-width: 696px) 100vw, 696px\" \/><\/figure>\n\n\n\n<p>Ans: 1\/y-x<\/p>\n\n\n\n<p>Solution:<\/p>\n\n\n\n<p>Probability density function of a uniformly distributed random variable.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"200\" height=\"136\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/Screenshot-451.png\" alt=\"\" class=\"wp-image-153786\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. The probability density function of a continuous random variable distributed uniformly between x and y (for y > x) is Ans: 1\/y-x Solution: Probability density function of a uniformly distributed random variable.<\/p>\n","protected":false},"author":419,"featured_media":153787,"comment_status":"open","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-4)","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-4)","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-4)","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":[5141],"tags":[5140],"class_list":["post-153784","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153784","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=153784"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153784\/revisions"}],"predecessor-version":[{"id":153788,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153784\/revisions\/153788"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153787"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153784"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153784"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153784"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}