{"id":156176,"date":"2023-08-29T13:56:17","date_gmt":"2023-08-29T08:26:17","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=156176"},"modified":"2023-08-29T13:56:19","modified_gmt":"2023-08-29T08:26:19","slug":"the-function-%f0%9d%91%9d%f0%9d%91%a5-is-given-by-%f0%9d%91%9d%f0%9d%91%a5-%f0%9d%90%b4-%f0%9d%91%a5%f0%9d%9c%87-where-%f0%9d%90%b4-and-%f0%9d%9c%87-are-constants-with-%f0%9d%9c%87-1-and-1","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/the-function-%f0%9d%91%9d%f0%9d%91%a5-is-given-by-%f0%9d%91%9d%f0%9d%91%a5-%f0%9d%90%b4-%f0%9d%91%a5%f0%9d%9c%87-where-%f0%9d%90%b4-and-%f0%9d%9c%87-are-constants-with-%f0%9d%9c%87-1-and-1\/","title":{"rendered":"The function \ud835\udc5d(\ud835\udc65) is given by \ud835\udc5d(\ud835\udc65) = \ud835\udc34\/\ud835\udc65\ud835\udf07 where \ud835\udc34 and \ud835\udf07 are constants with \ud835\udf07 > 1 and 1 \u2264 \ud835\udc65 &lt; \u221e and \ud835\udc5d(\ud835\udc65) = 0 for \u2212\u221e &lt; \ud835\udc65 &lt; 1"},"content":{"rendered":"\n<p>Q. The function \ud835\udc5d(\ud835\udc65) is given by \ud835\udc5d(\ud835\udc65) = \ud835\udc34\/\ud835\udc65<sup>\ud835\udf07<\/sup> where \ud835\udc34 and \ud835\udf07 are constants with \ud835\udf07 > 1 and 1 \u2264 \ud835\udc65 &lt; \u221e and \ud835\udc5d(\ud835\udc65) = 0 for \u2212\u221e &lt; \ud835\udc65 &lt; 1. For \ud835\udc5d(\ud835\udc65) to be a probability density function, the value of \ud835\udc34 should be equal to<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"244\" height=\"337\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-608.png\" alt=\"\" class=\"wp-image-156178\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-608.png 244w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-608-217x300.png 217w\" sizes=\"(max-width: 244px) 100vw, 244px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. The function \ud835\udc5d(\ud835\udc65) is given by \ud835\udc5d(\ud835\udc65) = \ud835\udc34\/\ud835\udc65\ud835\udf07 where \ud835\udc34 and \ud835\udf07 are constants with \ud835\udf07 > 1 and 1 \u2264 \ud835\udc65 &lt; \u221e and \ud835\udc5d(\ud835\udc65) = 0 for \u2212\u221e &lt; \ud835\udc65 &lt; 1. For \ud835\udc5d(\ud835\udc65) to be a probability density function, the value of \ud835\udc34 should be equal to Sol:<\/p>\n","protected":false},"author":419,"featured_media":156180,"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-156176","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\/156176","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=156176"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156176\/revisions"}],"predecessor-version":[{"id":156181,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/156176\/revisions\/156181"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/156180"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=156176"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=156176"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=156176"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}