{"id":790,"date":"2012-08-22T12:35:40","date_gmt":"2012-08-22T17:35:40","guid":{"rendered":"http:\/\/blogs.acu.edu\/jee99a\/?page_id=790"},"modified":"2013-03-11T10:04:31","modified_gmt":"2013-03-11T15:04:31","slug":"statistics-of-a-function","status":"publish","type":"page","link":"https:\/\/blogs.acu.edu\/jee99a\/courses\/calculus-ii\/statistics-of-a-function\/","title":{"rendered":"Statistics of a Function"},"content":{"rendered":"<div class='et-box et-shadow'>\n\t\t\t\t\t<div class='et-box-content'>\u00a0<strong>Description<\/strong>: \u00a0In this lecture we explore the relationship between the integral and statistics. \u00a0We start by determining the average value of a function over an integral which leads to the very important mean value theorem. \u00a0We also derive formulas for the standard deviation and variance of a function. \u00a0After a few examples, we transition to a discussion of continuous random variables and their associated probability density functions. \u00a0 This leads to a characterization of the integral of the pdf in terms of probability.<\/div><\/div>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/blogs.acu.edu\/jee99a\/files\/2012\/08\/S13_186_Lecture10.pdf\">Statistics of a Function<\/a><\/p>\n<p>&nbsp;<\/p>\n\n\t\t\t<div class='tabs-left et_sliderfx_slide et_sliderauto_false et_sliderauto_speed_5000 et_slidertype_left_tabs clearfix'>\n\t\t\t\t<div class='et_left_tabs_bg'><\/div>\n\t\t\t\t<ul class='et-tabs-control'>\n\t\t\t<li><a href='#'>\n\t\t\tReadings\n\t\t<\/a><\/li> \n\t\t<li><a href='#'>\n\t\t\tHomework\n\t\t<\/a><\/li> \n\t\t<li><a href='#'>\n\t\t\tQuizzes\n\t\t<\/a><\/li>\n\t\t<\/ul> <!-- .et-tabs-control --> \n\t\t<div class='et-tabs-content'>\n\t\t\t<div class='et-tabs-content-main-wrap'>\n\t\t\t\t<div class='et-tabs-content-wrapper'>\n\t\t\t\t\t<div class='et_slidecontent'>\n\t\t\tSection 6.5, 6.8\n\t\t<\/div> \n\t\t<div class='et_slidecontent'>\n\t\t\t\u00a0\n\t\t<\/div> \n\t\t<div class='et_slidecontent'>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t<\/div> <!-- .tabs-left -->\n<p>&nbsp;<\/p>\n<h3>Video Tutorials<\/h3>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<a href='http:\/\/blogs.acu.edu\/jee99a\/courses\/calculus-ii\/sequences-and-series\/' class='small-button smallsilver'>\u00a0Sequences and Series \u00bb \u00a0<\/a>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Statistics of a Function &nbsp; &nbsp; Video Tutorials &nbsp; &nbsp; &nbsp;<\/p>\n","protected":false},"author":130,"featured_media":0,"parent":96,"menu_order":8,"comment_status":"open","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-790","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/790","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/users\/130"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/comments?post=790"}],"version-history":[{"count":11,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/790\/revisions"}],"predecessor-version":[{"id":1142,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/790\/revisions\/1142"}],"up":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/96"}],"wp:attachment":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/media?parent=790"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}