{"id":105,"date":"2023-01-05T22:41:02","date_gmt":"2023-01-05T22:41:02","guid":{"rendered":"https:\/\/faculty.tarleton.edu\/crawford\/?page_id=105"},"modified":"2024-10-16T21:13:05","modified_gmt":"2024-10-16T21:13:05","slug":"math-4311-probability-and-statistics-ii","status":"publish","type":"page","link":"https:\/\/faculty.tarleton.edu\/crawford\/math-4311-probability-and-statistics-ii\/","title":{"rendered":"Math 4311 Probability and Statistics II"},"content":{"rendered":"\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/sp2020-4311-010-syllabus.docx\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/sp2020-4311-010-syllabus.docx\">Course Syllabus<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Statistical Tables<\/h2>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/ztable.gif\">Standard Normal Table<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Slides\/Notes<\/h2>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/bivariate-distribution-notes.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/bivariate-distribution-notes.pdf\">Bivariate Distribution Notes<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/Math411-Chapter5.pdf\">Chapter 5<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/Math411-Chapter6.pdf\">Chapter 6<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/Math411-Chapter7.pdf\">Chapter 7<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/ANOVA.pptx\">ANOVA Powerpoint<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Exam Reviews<\/h2>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/4311review1.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/4311review1.pdf\">Review 1<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/math4311-review2-2018.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/math4311-review2-2018.pdf\">Review 2<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/math4311-review3-sp2019.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/math4311-review3-sp2019.pdf\">Review 3<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/math411finalexam.pdf\">Final Exam<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Actuarial Exam Review<\/h2>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/exam-p.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/exam-p.pdf\">Actuarial Exam P Sample Questions<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/exam-p-solutions.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/exam-p-solutions.pdf\">Actuarial Exam P Solutions<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Sample R Code<\/h2>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/introduction.txt\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/introduction.txt\">Introduction to R<\/a><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/math411lab1.pdf\">&nbsp;<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/qqplots.txt\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/qqplots.txt\">QQ-Plot Sample Code<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/transformations.txt\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/transformations.txt\">Transformations and Functions<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Labs<\/h2>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/contingency-tables-lab.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/contingency-tables-lab.pdf\">Lab 4<\/a>&nbsp;due<\/p>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/math4311\/anova-lab.pdf\">Lab 3<\/a>&nbsp;due&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/math4311\/farmdata.txt\">farmdata.txt<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/math4311-confidence-intrvals-lab.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/math4311-confidence-intrvals-lab.pdf\">Lab 2<\/a>&nbsp;due<\/p>\n\n\n\n<p><a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/math4311-regression-lab.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/math4311-regression-lab.pdf\">Lab 1<\/a>&nbsp;due 1\/31&nbsp;<a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/sat-data.txt\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/sat-data.txt\">sat-data.txt<\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Homework<\/h2>\n\n\n\n<p>Hw10 due 3\/16:&nbsp; p. 306 (1, 9, 11, 16 (you can just compute the interval, you don&#8217;t have to derive it)), p. 315 (1, 3, 9abc, 11), and p. 322 (1ab, 3, 5ab)<\/p>\n\n\n\n<p>Hw9 due 3\/2:&nbsp;&nbsp;<a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/02\/mle-hw-2018.pdf\">MLE Homework<\/a><\/p>\n\n\n\n<p>Hw8 due 2\/21:&nbsp; p. 205 (1, 7, 13)<\/p>\n\n\n\n<p>Hw7 due 2\/19:&nbsp; p. 198 (1, 3, 5)<\/p>\n\n\n\n<p>Hw6 due 2\/17:&nbsp;&nbsp;<a href=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/mgf-technique.pdf\" data-type=\"URL\" data-id=\"https:\/\/faculty.tarleton.edu\/crawford\/wp-content\/uploads\/sites\/16\/2023\/03\/mgf-technique.pdf\">Moment-generating-function Technique<\/a>&nbsp;Homework<\/p>\n\n\n\n<p>Hw5 due 2\/14:&nbsp; p. 186 (1, 3, 13)<\/p>\n\n\n\n<p>Hw4 due 2\/ 7:&nbsp; p. 179 (1)<\/p>\n\n\n\n<p>Hw3 due 2\/5:&nbsp; p. 170 (1, 3, 7a).&nbsp;&nbsp;Also, for problem 7a, determine the following:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The smallest amount of money possible at the end of the year (minimum).<\/li>\n\n\n\n<li>The greatest amount of money possible at the end of the year (maximum).<\/li>\n\n\n\n<li>The expected value of the amount of money at the end of the year.<\/li>\n\n\n\n<li>Is the expected value exactly half way between the minimum and maximum?<\/li>\n\n\n\n<li>Is the expected value equal to 50,000e^(0.05), where 0.05 = E(R) is the expected value of the interest rate?<\/li>\n\n\n\n<li>Closing remark based on the last two points: Expected values and nonlinear functions do not interact &#8220;nicely&#8221;, e.g., E[f(R)] =\/= f[E(R)]<\/li>\n<\/ul>\n\n\n\n<p>&nbsp;Hw2 due 1\/29:&nbsp; p. 153 (11, 18, 19)<\/p>\n\n\n\n<p>&nbsp;Hw1 due 1\/20:&nbsp; p. 139 (1, 3)<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Course Syllabus Statistical Tables Standard Normal Table Slides\/Notes Bivariate Distribution Notes Chapter 5 Chapter 6 Chapter 7 ANOVA Powerpoint Exam Reviews Review 1 Review 2 Review 3 Final Exam Actuarial Exam Review Actuarial Exam P Sample Questions Actuarial Exam P Solutions Sample R Code Introduction to R&nbsp; QQ-Plot Sample Code Transformations and Functions Labs Lab &hellip; <a href=\"https:\/\/faculty.tarleton.edu\/crawford\/math-4311-probability-and-statistics-ii\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Math 4311 Probability and Statistics II<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"class_list":["post-105","page","type-page","status-publish","hentry"],"coauthors":[],"author_meta":{"author_link":"https:\/\/faculty.tarleton.edu\/crawford\/author\/kbuchanantarleton-edu\/","display_name":"Buchanan , Keegan"},"relative_dates":{"created":"Posted 3 years ago","modified":"Updated 2 years ago"},"absolute_dates":{"created":"Posted on January 5, 2023","modified":"Updated on October 16, 2024"},"absolute_dates_time":{"created":"Posted on January 5, 2023 10:41 pm","modified":"Updated on October 16, 2024 9:13 pm"},"featured_img_caption":"","featured_img":false,"series_order":"","_links":{"self":[{"href":"https:\/\/faculty.tarleton.edu\/crawford\/wp-json\/wp\/v2\/pages\/105","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/faculty.tarleton.edu\/crawford\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/faculty.tarleton.edu\/crawford\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/faculty.tarleton.edu\/crawford\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/faculty.tarleton.edu\/crawford\/wp-json\/wp\/v2\/comments?post=105"}],"version-history":[{"count":0,"href":"https:\/\/faculty.tarleton.edu\/crawford\/wp-json\/wp\/v2\/pages\/105\/revisions"}],"wp:attachment":[{"href":"https:\/\/faculty.tarleton.edu\/crawford\/wp-json\/wp\/v2\/media?parent=105"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}