{"id":54647,"date":"2021-09-30T08:56:11","date_gmt":"2021-09-30T08:56:11","guid":{"rendered":"https:\/\/papersspot.com\/blog\/2021\/09\/30\/only-one-question-probability\/"},"modified":"2021-09-30T08:56:11","modified_gmt":"2021-09-30T08:56:11","slug":"only-one-question-probability","status":"publish","type":"post","link":"https:\/\/papersspot.com\/blog\/2021\/09\/30\/only-one-question-probability\/","title":{"rendered":"Only One Question Probability"},"content":{"rendered":"<p>Note that this is equivalent to sampling a point uniformly at random from the unit<br \/> square [0, 1]<br \/> 2<br \/> . Find the probability of the following: <br \/>(a) |X \u2212 1<br \/> 2<br \/> | \u2264 1<br \/> 4<br \/> , <br \/>(b) |X \u2212 Y| &lt; 1<br \/> 2<br \/> , <br \/>(c) max{X,Y} &lt; 1<br \/> 2<br \/> , <br \/>(d) X<br \/> 2 Y<br \/> 2 &lt; 1<br \/> 4 <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Note that this is equivalent to sampling a point uniformly at random from the unit square [0, 1] 2 . Find the probability of the following: (a) |X \u2212 1 2 | \u2264 1 4 , (b) |X \u2212 Y| &lt; 1 2 , (c) max{X,Y} &lt; 1 2 , (d) X 2 Y 2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[10],"class_list":["post-54647","post","type-post","status-publish","format-standard","hentry","category-research-paper-writing","tag-writing"],"_links":{"self":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/54647","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/comments?post=54647"}],"version-history":[{"count":0,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/54647\/revisions"}],"wp:attachment":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/media?parent=54647"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/categories?post=54647"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/tags?post=54647"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}