{"id":335,"date":"2021-08-07T17:14:34","date_gmt":"2021-08-07T17:14:34","guid":{"rendered":"https:\/\/itgeeks.in\/home\/?p=335"},"modified":"2021-08-07T17:14:36","modified_gmt":"2021-08-07T17:14:36","slug":"2k6-ec-705-a-probability-and-random-process","status":"publish","type":"post","link":"https:\/\/itgeeks.in\/home\/?p=335","title":{"rendered":"2K6 EC 705 (A): PROBABILITY AND RANDOM PROCESS"},"content":{"rendered":"\n<p><strong>Module I: (13 hours)<\/strong><br>Axioms of probability \u2013 Conditional probability \u2013 Total probability \u2013 Baye\u2019s theorem \u2013 Random variable \u2013 Probability mass function \u2013 Probability density functions \u2013 Properties \u2013Moments \u2013 Moment generating functions and their properties<br><strong>Module II: (14 hours)<\/strong><br>Binomial \u2013 Poisson \u2013 Uniform \u2013 Exponential \u2013 Gamma \u2013 Normal distributions and their properties \u2013 Functions of a random variable \u2013 Chebyshev Inequality.<br><strong>Module III: (13 hours)<\/strong><br>Joint distributions \u2013 Marginal and conditional distributions \u2013 Covariance \u2013 Correlation and regression \u2013 Transformation of random variables \u2013 Central limit theorem.<br><strong>Module IV: (12 hours)<\/strong><br>Definition and examples \u2013 first order \u2013 second order \u2013 strictly stationary \u2013 wide \u2013 sense stationary and Ergodic processes \u2013 Markov process \u2013 Binomial \u2013 Poisson and Normal processes \u2013 Sine wave process.<\/p>\n\n\n\n<p><strong>TEXT BOOKS<\/strong><br>1.\u00a0<a href=\"https:\/\/itgeeks.in\/home\/?p=336\">Ross S., \u201cA First Course in Probability\u201d, Seventh Edition , Pearson Education<\/a>, 2006.<br>2.<a href=\"https:\/\/itgeeks.in\/home\/?p=338\">\u00a0S.Karlin and H.M. Taylor, \u201cAn Introduction to Stochastic Modeling\u201d, Academic Press<\/a>, 2007.<br><strong>Reference books<\/strong><br>1. Veerarajan T., \u201cProbabilitiy \u2013 Statistics and Random process\u201d, Second Edition , Tata McGraw\u2013Hill, 2006.<br>2. Richard A Johnson, \u201cProbability and Statistics for Engineers\u201d Seventh Edition , Pearson Education, 2005.<br>3.\u00a0<a href=\"https:\/\/itgeeks.in\/home\/?p=340\">Mood, Alexander McFarlane, \u201cIntroduction to Theory of Statistics\u201d, Tata McGraw<\/a> \u2013 Hill,1974.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/itgeeks.in\/home\/?p=202\">S7 Question Papers<\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Module I: (13 hours)Axioms of probability \u2013 Conditional probability \u2013 Total probability \u2013 Baye\u2019s theorem \u2013 Random variable \u2013 Probability<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[28,22,9,8],"tags":[7],"class_list":["post-335","post","type-post","status-publish","format-standard","hentry","category-ku-s7-ece","category-ku-syb-s7","category-ku-syllabus","category-syllabus","tag-kannur-university"],"_links":{"self":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts\/335","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=335"}],"version-history":[{"count":1,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts\/335\/revisions"}],"predecessor-version":[{"id":342,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=\/wp\/v2\/posts\/335\/revisions\/342"}],"wp:attachment":[{"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=335"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=335"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/itgeeks.in\/home\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=335"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}