{"id":16704,"date":"2025-04-02T13:35:13","date_gmt":"2025-04-02T08:05:13","guid":{"rendered":"https:\/\/civileng.helashop.lk\/?page_id=16704"},"modified":"2025-04-02T13:47:53","modified_gmt":"2025-04-02T08:17:53","slug":"em2020","status":"publish","type":"page","link":"https:\/\/eng.pdn.ac.lk\/civileng\/em2020\/","title":{"rendered":"EM2020"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"16704\" class=\"elementor elementor-16704\" data-elementor-post-type=\"page\">\n\t\t\t\t<div class=\"elementor-element elementor-element-32d3da22 e-flex e-con-boxed e-con e-parent\" data-id=\"32d3da22\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-3fb5a045 elementor-widget elementor-widget-html\" data-id=\"3fb5a045\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<style>\r\n    table {\r\n        border: 1px solid black;\r\n        font-family: Verdana;\r\n        font-size: 12pt;\r\n        border-collapse: collapse;\r\n        width: 100%;\r\n    }\r\n    td, th {\r\n        border: 1px solid black;\r\n        padding: 5px;\r\n        text-align: left;\r\n    }\r\n    @media screen and (max-width: 600px) {\r\n        table {\r\n            display: block;\r\n            overflow-x: auto;\r\n            white-space: nowrap;\r\n        }\r\n    }\r\n<\/style>\r\n<table style=\"border-color: black; font-family: Verdana; font-size: 12pt; text-indent: 0; border-collapse:collapse; margin-left:5.25pt;\" border=\"solid\" cellspacing=\"6\" cellpadding=\"5\">\r\n\r\n<tbody style=\"vertical-align: top; overflow: visible;\">\r\n\r\n<tr>\r\n<td width=\"272\">\r\n<p><strong>Semester:<\/strong><\/p>\r\n<\/td>\r\n<td colspan=\"6\" width=\"592\">\r\n<p>3<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"272\">\r\n<p><strong>Course Code<\/strong>:<\/p>\r\n<\/td>\r\n<td colspan=\"6\" width=\"592\">\r\n<p>EM2020<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"272\">\r\n<p><strong>Course Name<\/strong>:<\/p>\r\n<\/td>\r\n<td colspan=\"6\" width=\"592\">\r\n<p>Probability and Statistics<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"272\">\r\n<p><strong>Credit Value:<\/strong><\/p>\r\n<\/td>\r\n<td colspan=\"6\" width=\"592\">\r\n<p>2 (Notional hours: 100)<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"272\">\r\n<p><strong>Prerequisites:<\/strong><\/p>\r\n<\/td>\r\n<td colspan=\"6\" width=\"592\">\r\n<p>None<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"272\">\r\n<p><strong>Core\/Optional<\/strong><\/p>\r\n<\/td>\r\n<td colspan=\"6\" width=\"592\">\r\n<p>Core<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td rowspan=\"2\" width=\"272\">\r\n<p><strong>Hourly Breakdown<\/strong><\/p>\r\n<\/td>\r\n<td colspan=\"2\" width=\"112\">\r\n<p>Lecture hrs.<\/p>\r\n<\/td>\r\n<td width=\"123\">\r\n<p>Tutorial hrs.<\/p>\r\n<\/td>\r\n<td width=\"142\">\r\n<p>Assignment hrs.<\/p>\r\n<\/td>\r\n<td colspan=\"2\" width=\"214\">\r\n<p>Independent Learning &amp; Assessment hrs.<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"2\" width=\"112\">\r\n<p>24<\/p>\r\n<\/td>\r\n<td width=\"123\">\r\n<p>4<\/p>\r\n<\/td>\r\n<td width=\"142\">\r\n<p>4<\/p>\r\n<\/td>\r\n<td colspan=\"2\" width=\"214\">\r\n<p>68<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"7\" width=\"863\">\r\n<p><strong>Course Aim: <\/strong>To introduce basic concepts of probability and inferential statistics.<\/p>\r\n\r\n<p><strong>Intended Learning Outcomes<\/strong>:<\/p>\r\n<p>On successful completion of the course, the students should be able to;<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>demonstrate <\/strong>fundamental probability and statistical concepts.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>apply <\/strong>standard discrete and continuous probability distributions and observe their role as the foundation for statistical inference.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>perform <\/strong>estimation and testing of hypotheses on common measures in decision making.<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"7\" width=\"863\">\r\n<p><strong>Course Content:<\/strong><\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>Concepts of probability: <\/strong>Discrete and continuous random variables, probability distributions, mean, expectation and variance, moment generating functions<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>Discrete probability distributions: <\/strong>Bernoulli (Point binomial) Distribution, Binomial distribution, Poisson distribution, geometric distribution, Hypergeometric distribution.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>Continuous probability distributions: <\/strong>Uniform distribution, exponential distribution, normal distribution, Student-t distribution, Weibull distribution and Chi-squared distribution.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>Sampling distributions: <\/strong>The central limit theorem and normal approximation to the binomial distribution, sampling distribution of sample mean and sample variance.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>Estimation and Confidence Intervals: <\/strong>Estimation and calculation of Confidence Intervals for mean, difference of means and variance.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; <strong>Test of Hypothesis: <\/strong>Test of hypothesis for mean and difference of means<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"7\" width=\"863\">\r\n<p><strong>Teaching \/Learning Methods:<\/strong><\/p>\r\n<p>Classroom lectures, tutorial discussions and in-class assignments<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"7\" width=\"863\">\r\n<p><strong>Assessment Strategy:<\/strong><\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"2\" width=\"369\">\r\n<p style=\"text-align: center;\">Continuous Assessment <br \/>40%<\/p>\r\n<\/td>\r\n<td colspan=\"5\" width=\"494\">\r\n<p style=\"text-align: center;\">Final Assessment <br \/>60%<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 369px; text-align: left; vertical-align: top;\" colspan=\"2\" width=\"369\">\r\n<p>Details: <br \/>Tutorials\/Assignments\/Quizzes&nbsp; &nbsp;10% <br \/>Mid Semester Examination&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;30%<\/p>\r\n<\/td>\r\n<td style=\"width: 369px; text-align: left; vertical-align: top;\" colspan=\"2\" width=\"138\">\r\n<p>Theory (%)<\/p>\r\n<p>&nbsp;60%<\/p>\r\n<\/td>\r\n<td style=\"width: 369px; text-align: left; vertical-align: top;\" colspan=\"2\" width=\"186\">\r\n<p>Practical (%)<\/p>\r\n<p>&nbsp;-<\/p>\r\n<\/td>\r\n<td style=\"width: 369px; text-align: left; vertical-align: top;\" width=\"170\">\r\n<p>Other (%)<\/p>\r\n<p>&nbsp;-<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"7\" width=\"863\">\r\n<p><strong>Recommended Reading<\/strong>:<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; D.C. Montgomery and G.C. Runger Applied Statistics and Probability for Engineers, 6th edition,(2013), John Wiley and Sons Inc.<\/p>\r\n<p>\u27a2&nbsp;&nbsp;&nbsp; Jay L. Devore, Probability and Statistics for Engineering and the Sciences, 8th edition, (2010), Cengage Learning.<\/p>\r\n<\/td>\r\n<\/tr>\r\n\r\n<\/tbody>\r\n<\/table>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Semester: 3 Course Code: EM2020 Course Name: Probability and Statistics Credit Value: 2 (Notional hours: 100) Prerequisites: None Core\/Optional Core Hourly Breakdown Lecture hrs. Tutorial hrs. Assignment hrs. Independent Learning &amp; Assessment hrs. 24 4 4 68 Course Aim: To &hellip; <\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-16704","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/16704","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/comments?post=16704"}],"version-history":[{"count":0,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/16704\/revisions"}],"wp:attachment":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/media?parent=16704"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}