{"id":6119,"date":"2023-02-27T16:59:02","date_gmt":"2023-02-27T16:59:02","guid":{"rendered":"https:\/\/www.goodacademic.com\/blog\/questions\/find-the-exact-book-or-source-of-this-exercises\/"},"modified":"2023-02-27T16:59:02","modified_gmt":"2023-02-27T16:59:02","slug":"find-the-exact-book-or-source-of-this-exercises","status":"publish","type":"questions","link":"https:\/\/www.goodacademic.com\/blog\/questions\/find-the-exact-book-or-source-of-this-exercises\/","title":{"rendered":"Find the exact book (or source) of this exercises?"},"content":{"rendered":"<div class=\"col-sm-12 messageContent\">\n <b>Learning Goal: <\/b>I&#8217;m working on a statistics test \/ quiz prep and need a reference to help me learn.<\/p>\n<p>Example exercise: Let X be a discrete random variable uniformly distributed on { 1 , 2 } , that is P ( X = x ) = 1\/2, x = 1 , 2 .<\/p>\n<p>Let Y be another random variable and assume that the conditional distribution of Y given X = x is exponential with parameter x (i.e. the p.d.f. of Y | X = x is f Y | X = x ( y ) = xe^-(xy) , y&gt;= 0 ).<\/p>\n<p>Then the unconditioned probability that Y is &gt; 1 is<\/p>\n<p>(a) P ( Y &gt; 1) = 1\/2 ( e^-x + e^-2 x )<\/p>\n<p>(b) P ( Y &gt; 1) = 1\/2 ( e^-1 + e^-2 )<\/p>\n<p>(c) P ( Y &gt; 1) = 1-1\/2 ( e^-1 + e^-2 )<\/p>\n<p>(d) P ( Y &gt; 1) = 1\/2<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Learning Goal: I&#8217;m working on a statistics test \/ quiz prep and need a reference to help me learn. Example exercise: Let X be a discrete random variable uniformly distributed on { 1 , 2 } , that is P ( X = x ) = 1\/2, x = 1 , 2 . Let Y [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":[],"disciplines":[658],"paper_types":[],"tagged":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions\/6119"}],"collection":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/comments?post=6119"}],"version-history":[{"count":0,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions\/6119\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/media?parent=6119"}],"wp:term":[{"taxonomy":"disciplines","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/disciplines?post=6119"},{"taxonomy":"paper_types","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/paper_types?post=6119"},{"taxonomy":"tagged","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/tagged?post=6119"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}