{"id":18278,"date":"2025-05-20T13:19:08","date_gmt":"2025-05-20T07:49:08","guid":{"rendered":"https:\/\/civileng.helashop.lk\/?page_id=18278"},"modified":"2025-08-05T11:00:52","modified_gmt":"2025-08-05T05:30:52","slug":"em213","status":"publish","type":"page","link":"https:\/\/eng.pdn.ac.lk\/civileng\/em213\/","title":{"rendered":"EM213"},"content":{"rendered":"\t\t
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Probability and Statistics - EM213 <\/h2><\/span><\/div>\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
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Credits : 2<\/p>

Prerequisites : –<\/p>

Compulsory\/Optional : Compulsory<\/p>
Aim(s)<\/th><\/tr><\/thead>
To introduce basic concepts of probability and inferential statistics.<\/td><\/tr><\/tbody>
Intended Learning Outcomes<\/th><\/tr><\/thead>

On successful completion of the course, the students should be able to;<\/p>

  1. Demonstrate fundamental probability and statistical concepts.<\/li>
  2. Apply standard discrete and continuous probability distributions and observe their role as the foundation for statistical inference.<\/li>
  3. Perform estimation and testing of hypothesis on common measures in decision making.<\/li><\/ol><\/td><\/tr><\/tbody>
Course content\/Course description<\/th><\/tr><\/thead>
  1. Concepts of probability:Discrete and continuous random variables, probability functions, mean, expectation and variance, moment generating functions.<\/li>
  2. Discrete probability distributions: Bernoulli (Point binomial) Distribution, binomial distribution, Poisson distribution, geometric distribution, hypergeometric distribution.<\/li>
  3. Continuous probability distributions: Uniform distribution, exponential distribution, normal distribution, Student-t distribution, Weibull distribution and Chi-square distribution.<\/li>
  4. Sampling distributions:The central limit theorem and normal approximation to the binomial distribution, sampling distribution of sample mean and sample variance.<\/li>
  5. Estimation and Confidence Intervals: Estimation and calculation of Confidence Intervals for mean, difference of means and variance.<\/li>
  6. Test of Hypothesis (3): Test of hypothesis for mean and difference of means.<\/li><\/ol><\/td><\/tr><\/tbody>
Recommended Texts<\/th><\/tr><\/thead>
  1. D.C. Montgomery and G.C. Runger Applied Statistics and Probability for Engineers, 6thedition,(2013), John Wiley and SonsInc.<\/li>
  2. Jay L. Devore, Probability and Statistics for Engineering and the Sciences, 8th edition, (2010),Cengage Learning.<\/li><\/ol><\/td><\/tr><\/tbody><\/table>
    Time Allocation<\/th>Hours<\/th><\/tr><\/thead>
    Lectures<\/td>24<\/td><\/tr>
    Tutorials<\/td>4<\/td><\/tr>
    Practical<\/td>–<\/td><\/tr>
    Assignments<\/td>4<\/td><\/tr><\/tbody><\/table><\/div>
    \u00a0<\/div>
    Assessment<\/th>Percentage Marks<\/th><\/tr><\/thead>
    In-course<\/td><\/tr>
    Tutorials<\/td>10<\/td><\/tr>
    Mid Semester Examination<\/td>30<\/td><\/tr>
    End-semester<\/td>60<\/td><\/tr><\/tbody><\/table><\/div><\/div>\t\t\t\t\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":"

    Probability and Statistics – EM213 Credits : 2 Prerequisites : – Compulsory\/Optional : Compulsory Aim(s) To introduce basic concepts of probability and inferential statistics. Intended Learning Outcomes On successful completion of the course, the students should be able to; Demonstrate … <\/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-18278","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/18278","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=18278"}],"version-history":[{"count":0,"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/pages\/18278\/revisions"}],"wp:attachment":[{"href":"https:\/\/eng.pdn.ac.lk\/civileng\/wp-json\/wp\/v2\/media?parent=18278"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}