{"id":244,"date":"2003-11-06T11:22:29","date_gmt":"2003-11-06T11:22:29","guid":{"rendered":"http:\/\/maddruid.com\/wp\/?p=244"},"modified":"2006-10-08T04:03:49","modified_gmt":"2006-10-08T04:03:49","slug":"106813675131401187","status":"publish","type":"post","link":"https:\/\/maddruid.com\/?p=244","title":{"rendered":"[242] Of twelve desperate points"},"content":{"rendered":"<p>What&#8217;s the difference between having four heads in six trials and four consecutive heads in six trials?<br \/>\n<em>Ans<\/em>: Twelve desperate points.<\/p>\n<p>Somehow, I misread the my exam question and interpreted it as a geometric distribution problem instead of Pascal distribution problem. I can&#8217;t believe that I did<\/p>\n<p>P(X=6) = [(1-p)^(3)]*(p) with p=(0.5)^4<\/p>\n<p>because we need four successive successes, instead of<\/p>\n<p>P(X=6) = (5C3)*(p^4)*[(1-p)^2]<\/p>\n<p>But then, even the way I interpreted it into geometric is wrong. Heck, what am I talking about? When you choose your distribution wrongly, there is no way to do it the right way in the wrong way!<\/p>\n<p>To Prof. Inoue, please apply normal distribution into the grading. I know everyone got at least a B+ for the first midterm but the second midterm is a disaster for the whole support. There is no way anyone in the class will get an A- with the current 95-for-A cut off. I dare bet, letting X is the set of discrete grades (X = {A+, A, A-, B+, B, B-, C+, C, C-, D+, D, D-, E, F}) and P(X=x) is a probability with X=x,<\/p>\n<p>P(X&gt;A-) = 0 and thus P(XA-)<\/p>\n<p>Sigh&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What&#8217;s the difference between having four heads in six trials and four consecutive heads in six trials? Ans: Twelve desperate points. Somehow, I misread the my exam question and interpreted it as a geometric distribution problem instead of Pascal distribution problem. I can&#8217;t believe that I did P(X=6) = [(1-p)^(3)]*(p) with p=(0.5)^4 because we need [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10,3],"tags":[],"class_list":["post-244","post","type-post","status-publish","format-standard","hentry","category-economics","category-personal"],"_links":{"self":[{"href":"https:\/\/maddruid.com\/index.php?rest_route=\/wp\/v2\/posts\/244","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/maddruid.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/maddruid.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/maddruid.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/maddruid.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=244"}],"version-history":[{"count":0,"href":"https:\/\/maddruid.com\/index.php?rest_route=\/wp\/v2\/posts\/244\/revisions"}],"wp:attachment":[{"href":"https:\/\/maddruid.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=244"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/maddruid.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=244"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/maddruid.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=244"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}