{"id":29006,"date":"2025-04-14T14:37:45","date_gmt":"2025-04-14T09:07:45","guid":{"rendered":"https:\/\/www.inspirenignite.com\/mh\/314316-probability-and-statistics-syllabus-for-cloud-computing-big-data-4th-sem-k-scheme-msbte-pdf\/"},"modified":"2025-04-14T14:37:45","modified_gmt":"2025-04-14T09:07:45","slug":"314316-probability-and-statistics-syllabus-for-cloud-computing-big-data-4th-sem-k-scheme-msbte-pdf","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/mh\/314316-probability-and-statistics-syllabus-for-cloud-computing-big-data-4th-sem-k-scheme-msbte-pdf\/","title":{"rendered":"314316: Probability and Statistics Syllabus for Cloud Computing &amp; Big Data 4th Sem K Scheme MSBTE PDF"},"content":{"rendered":"<p align=\"justify\">Probability and Statistics detailed Syllabus for Cloud Computing &amp; Big Data (BD), K scheme PDF has been taken from the <a href=\"https:\/\/econtent.msbte.edu.in\/curriculum_search\/\" style=\"color: inherit\" target=\"_blank\" rel=\"noopener\">MSBTE<\/a> official website and presented for the diploma students. For Subject Code, Subject Name, Lectures, Tutorial, Practical\/Drawing, Credits, Theory (Max &amp; Min) Marks, Practical (Max &amp; Min) Marks, Total Marks, and other information, do visit full semester subjects post given below. <\/p>\n<p align=\"justify\">For all other MSBTE Cloud Computing &amp; Big Data 4th Sem K Scheme Syllabus PDF, do visit <a href=\"..\/msbte-cloud-computing-big-data-4th-sem-k-scheme-syllabus-pdf\/\">MSBTE Cloud Computing &amp; Big Data 4th Sem K Scheme Syllabus PDF Subjects<\/a>. The detailed Syllabus for probability and statistics is as follows.<\/p>\n<p><h4>Rationale<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\/\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>.<\/p>\n<p><h4>Course Outcomes:<\/h4>\n<p>Students will be able to achieve &amp; demonstrate the following COs on completion of course based learning<\/p>\n<ol>\n<li>Apply the basics of probability to solve the engineering problems.<\/li>\n<li>Use the concepts of random variable and types of probability distribution for getting the spread of d<\/li>\n<li>Apply network analysis to estimate the complex pattern of relationship and network structure.<\/li>\n<li>Apply the Bivariate frequency distribution and correlation for data analysis.<\/li>\n<li>Apply Regression analysis to determine the correlation of data.<\/li>\n<\/ol>\n<p><h4>Unit I<\/h4>\n<p>Probability 1.1\tDefinition and types of events :Simple event, Occurrence &amp; non-occurrence of an event, Sure event, Impossible event, Complementary event 1.2\tAlgebra of events (Union, Intersection and Mutually exclusive) , Elementary Properties of Probability 1.3\tAddition theorem of two event using axiomatic definition of property and using Venn diagram 1.4\tConditional probability, Multiplication theorem, Independent events 1.5\tProblems on Bayes&#8217; Theorem (without proof)\n<\/p>\n<p><i>Suggested Learning Pedagogie<\/i><br \/>\nImprove lecture Chalk Bo Tutorial Flipped classroo\n<\/p>\n<p><h4>Unit II<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\/\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>.<\/p>\n<p><h4>Unit III<\/h4>\n<p>Network Analysis (PERT and CPM) 3.1\tConstruction of Network Diagram A-O-A Network (Activity on Arrow Network), Guidelines, Fulkerson&#8217;s rule for numbering events, Interdependency, Node Relationship, Dummy activity, Common errors in Networking 3.2\tDetermination of Critical path: Network diagram, Paths in network 3.3\tPERT Algorithm: Estimate Three kinds of time estimates in PERT, Networking diagram, Probability calculation, Expected project completion date\n<\/p>\n<p><i>Suggested Learning Pedagogie<\/i><br \/>\nImprove lecture Chalk Bo Tutorial Flipped Classroo\n<\/p>\n<p><h4>Unit IV<\/h4>\n<p>Bivariate frequency distribution and correlation 4.1\tCorrelation: Definition and Types of correlation(Positive,Negative,Linear and Non linear) 4.2\tScatter diagram, Karl Pearson&#8217;s co-efficient of correlation and Spearman&#8217;s Rank co-efficient of correlation 4.3\tMarginal frequency distribution, Conditional frequency distribution\n<\/p>\n<p><i>Suggested Learning Pedagogie<\/i><br \/>\nImprove lecture Chalk Bo Tutorial Flipped Classroo\n<\/p>\n<p><h4>Unit V<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\/\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>.<\/p>\n<p><h4>List of Experiments:<\/h4>\n<ol>\n<li>Find the union, intersection and complement of events based on Venn diagram for the given problem. 1\tC<\/li>\n<li>* Calculate the probability using concepts of conditional probability and Bayes theorem for the given problem. 1\tC<\/li>\n<li>Find the Expected value, Variance and Standard Deviation for the given problem. 1\tC<\/li>\n<li>* Calculate the probability using Bernoulli distribution for the given problem. 1\tC<\/li>\n<li>*Calculate the probability using Uniform distribution for the given problem. 1\tC<\/li>\n<li>Calculate the probability using Exponential distribution for the given problem. 1\tC<\/li>\n<li>Construct the Network diagram (A-O-A ) Activity on Arrow network. 1\tC<\/li>\n<li>Find the critical path using Fulkerson&#8217;s rule for numbering events for the given problem. 1\tC<\/li>\n<li>*Calculate the Expected time using PERT algorithm for the given problem. 1\tC<\/li>\n<li>* Calculate the Karl Pearson&#8217;s coefficient of correlation to the given data. 1\tC<\/li>\n<li>* Calculate the Spearman&#8217;s Rank co-efficient of correlation to the given data. 1\tC<\/li>\n<li>Find the Marginal frequency distribution and Conditional frequency distribution for the given problem. 1\tC<\/li>\n<li>* Find the Standard deviation of data,covariance,coefficient of correlation and coefficient of regression for the given problem. 1\tC<\/li>\n<li>Determine the best way of fitting the curve by least square method. 1\tC<\/li>\n<li>* Find the equation to line of regression (X on Y and Y on X) for the given problem. 1\tC<\/li>\n<\/ol>\n<p><h4>Self Learning<\/h4>\n<\/p>\n<p><i>Micro Project<\/i><\/p>\n<ul>\n<li>Write a program to apply marginal frequency distribution of predictors and response variables.<\/li>\n<li>Collect the data of marks obtained by students in any two subjects X and Y in mid sem test .Calculate the regression equation of X on Y and regression equation of Y on X.<\/li>\n<li>Implement each least squares regression technique using a programming language such as Python or R.Util libraries like scikit -learn for implementation, ensuring proper parameter tuning and regularization settings for technique.<\/li>\n<li>Collect the data of the students of your class who like tea ,coffee and milk and prepare a Venn diagram to re the data.<\/li>\n<li>Analyze sports data and provide insights into player performance, team dynamics, and game strategies usin probability.<\/li>\n<\/ul>\n<p><i>Assignment<\/i><\/p>\n<ul>\n<li>Collect 5 examples based on Spearman&#8217;s Rank Coefficient of Correlation.<\/li>\n<li>Collect examples based on real world applications of probability and prepare a pdf file.<\/li>\n<li>Collect the data of 50 students of your class to take their heights in cm(x) and weights in kg (y).Hence find the regression equation.<\/li>\n<li>Practice linear, non-linear, and directly proportional relationships with interactive resources from GeoGebra prepare a pdf file.<\/li>\n<li>Collect at least 10 examples based on real world applications of network analysis.<\/li>\n<\/ul>\n<p><i>Other<\/i><\/p>\n<ul>\n<li>Complete any one course related to &#8220;Probability and Statistics&#8221; available on Coursera, Swayam, NPTEL.<\/li>\n<\/ul>\n<p><h4>Laboratory Equipment<\/h4>\n<p id=\"istudy\" style=\"text-align:center\">For the complete Syllabus, results, class timetable, and many other features kindly download the <a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\/\" target=\"_blank\" rel=\"noopener\">iStudy App<\/a><br \/><b> It is a lightweight, easy to use, no images, and no pdfs platform to make students&#8217;s lives easier.<\/b><br \/><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy&amp;pcampaignid=pcampaignidMKT-Other-global-all-co-prtnr-py-PartBadge-Mar2515-1\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"https:\/\/play.google.com\/intl\/en_us\/badges\/static\/images\/badges\/en_badge_web_generic.png\" alt=\"Get it on Google Play\" style=\"height:65px\"><\/a>.<\/p>\n<p><h4>Learning Materials<\/h4>\n<ol>\n<li>H.K. Dass , Er. Rajnish Verma\tHigher Engineering of Mathematics\tS.Chand Publication,New Delhi,2008 ISB 9788121938902<\/li>\n<li>S.C.Gupta &amp; V.K. Kapoor\tFundamental of Mathematical Statistics\tSultan Chand &amp; sons Publication,New Delhi,2008 ISBN: 978-8180545283<\/li>\n<li>Grewal B. S. Higher Engineering Mathematics\tKhanna publication, New Delhi, 2013. IS 978-8174091955<\/li>\n<li>Er.Prem Kumar Gupta &amp; Dr.D.S.Hira\tOperation Research\tS.Chand Publication, New Delhi,2008 IS 978-8121902816<\/li>\n<li>Dr. J. Ravichandran\tProbability &amp; Statistics for Engineers\tWiley India Pvt Ltd, ISBN: 978-8126523<\/li>\n<li>Dr B.C Punmia and K.K Khandelwal\tProject Planning and Control with PERT and CPM\tLaxmi publications, ISBN :81-7008-309-<\/li>\n<\/ol>\n<p><h4>Learning Websites &amp; Portals<\/h4>\n<ol>\n<li>https:\/\/www.coursera.org\/learn\/introductiontoprobability\tAn Intuitive Introduction to Probabil<\/li>\n<li>https:\/\/nptel.ac.in\/courses\/111106112\tOnline Learning Initiatives by IITs<\/li>\n<li>https:\/\/www.edx.org&gt;learn&gt;probabilty\tFoundational concepts of probability theory and statistics<\/li>\n<li>https:\/\/www.khanacademy.org\/math\/statistics-probability\/prob ability-library\/addition-rule-lib\/a\/addition-rule-for-probab ility-basic\tFoundational concepts of probability<\/li>\n<li>https:\/\/www.udemy.com\/course\/axiomatic-probability\/\tUnderstanding Axiomatic Approach Probability in Mathematics<\/li>\n<\/li>\n<\/ol>\n<p align=\"justify\">For detail Syllabus of all other subjects of Cloud Computing &amp; Big Data, K scheme do visit <a href=\"..\/category\/msbte\/bd\/\">Cloud Computing &amp; Big Data 4th Sem Syllabus for K scheme<\/a>.<\/p>\n<p align=\"justify\">For all Cloud Computing &amp; Big Data results, visit <a href=\"https:\/\/www.inspirenignite.com\/mh\/msbte-results\/\">MSBTE Cloud Computing &amp; Big Data all semester results<\/a> direct links.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Probability and Statistics detailed Syllabus for Cloud Computing &amp; Big Data (BD), K scheme PDF has been taken from the MSBTE official website and presented for the diploma students. For [&hellip;]<\/p>\n","protected":false},"author":2351,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[118,134],"tags":[],"class_list":["post-29006","post","type-post","status-publish","format-standard","hentry","category-4th-sem-msbte","category-bd"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/posts\/29006","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/users\/2351"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/comments?post=29006"}],"version-history":[{"count":0,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/posts\/29006\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/media?parent=29006"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/categories?post=29006"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/mh\/wp-json\/wp\/v2\/tags?post=29006"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}