{"id":869,"date":"2016-05-30T17:54:55","date_gmt":"2016-05-30T17:54:55","guid":{"rendered":"http:\/\/www.inspirenignite.com\/jntuh\/?p=869"},"modified":"2021-10-27T20:46:02","modified_gmt":"2021-10-27T20:46:02","slug":"jntuh-b-tech-2nd-year-1-sem-computer-science-engineering-2-1-probability-statistics-engineering-r13","status":"publish","type":"post","link":"https:\/\/www.inspirenignite.com\/jntuh\/jntuh-b-tech-2nd-year-1-sem-computer-science-engineering-2-1-probability-statistics-engineering-r13\/","title":{"rendered":"JNTUH B.Tech 2nd Year 1 sem Computer Science Engineering (2-1) Probability and Statistics Engineering R13."},"content":{"rendered":"<p>JNTUH B.Tech 2nd year Probability and Statistics gives you detail information about Probability and Statistics Engineering R13 year subject. It will be help full you to understand you complete curriculum of the year.<\/p>\n<p><strong>Objectives: To learn<\/strong><\/p>\n<ul>\n<li>Understand a random variable that describes randomness or an uncertainty in certain realistic situation.\u00a0It can be of either discrete or continuous type.<\/li>\n<li>In the discrete case, study of the binomial and the Poisson random variables and the Normal random\u00a0variable for the continuous case predominantly describe important probability distributions. Important\u00a0statistical properties for these random variables provide very good insight and are essential for industrial\u00a0applications.<\/li>\n<li>Most of the random situations are described as functions of many single random variables. In this unit,\u00a0the objective is to learn functions of many random variables through joint distributions.<\/li>\n<li>The types of sampling, Sampling distribution of means ,Sampling distribution of variance,Estimations of\u00a0statistical parameters, Testing of hypothesis of few unknown statistical parameters.<\/li>\n<li>The mechanism of queuing system ,The characteristics of queue,The mean arrival and service rates<\/li>\n<li>The expected queue length, The waiting line<\/li>\n<li>The random processes, The classification of random processes, Markov chain, Classification of states<\/li>\n<li>Stochastic matrix ( transition probability matrix ),Limiting probabilities, Applications of Markov chains<\/li>\n<\/ul>\n<p><strong>UNIT-I<\/strong><\/p>\n<p>Single Random variables and probability distributions: Random variables \u2013 Discrete and continuous.\u00a0Probability distributions, mass function\/ density function of a probability distribution . Mathematical Expectation,\u00a0Moment about origin, Central moments Moment generating function of probability distribution.\u00a0Binomial, Poisson &amp; normal distributions and their properties. Moment generating functions of the above three\u00a0distributions, and hence finding the mean and variance.<\/p>\n<p><strong>UNIT-II<\/strong><\/p>\n<p>Multiple Random variables, Correlation &amp; Regression: Joint probability distributions- Joint probability mass \/\u00a0density function, Marginal probability mass \/ density functions, Covariance of two random variables, Correlation &#8211;\u00a0Coefficient of correlation, The rank correlation.\u00a0Regression- Regression Coefficient, The lines of regression and multiple correlation &amp; regression.<\/p>\n<p><strong>UNIT-III<\/strong><\/p>\n<p>Sampling Distributions and Testing of Hypothesis\u00a0Sampling: Definitions of population, sampling, statistic, parameter. Types of sampling, Expected values of\u00a0Sample mean and varience, sampling distribution, Standard error, Sampling distribution of means and sampling\u00a0distribution of varience.\u00a0Parameter estimations \u2013 likelihood estimate, interval estimations.<br \/>\nTesting of hypothesis: Null hypothesis, Alternate hypothesis, type I, &amp; type II errors \u2013 critical region, confidence\u00a0interval, Level of significance. One sided test, two sided test,<\/p>\n<p><strong>Large sample tests<\/strong><\/p>\n<ul>\n<li>Test of Equality of means of two samples equality of sample mean and population mean (cases of\u00a0known varience &amp; unknown varience, equal and unequal variances)<\/li>\n<li>Tests of significance of difference between sample S.D and population S.D.<\/li>\n<li>Tests of significance difference between sample proportion and population proportion&amp;difference\u00a0between two sample proportions.<\/li>\n<\/ul>\n<p><strong>Small sample tests<\/strong><\/p>\n<p>Student t-distribution,its properties; Test of significance difference between sample mean and population mean;<br \/>\ndifference between means of two small samples Snedecor\u2019s F- distribution and it\u2019s properties. Test of equality of two population variences Chi-square distribution , it\u2019s properties, Chi-square test of goodness of fit.<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=ini.istudy\" target=\"_blank\" rel=\"noopener\"><strong><em><span style=\"color: #ff0000\">Download iStudy Android App for complete JNTUH syllabus, results, timetables and all other updates. There are no ads and no pdfs and will make your life way easier<\/span>.<\/em><\/strong><\/a><\/p>\n<p><strong>TEXT BOOKS<\/strong><\/p>\n<ol>\n<li>Higher Engineering Mathematics by Dr. B.S. Grewal, Khanna Publishers<\/li>\n<li>Probability and Statistics for Engineers and Scientists by Sheldon M.Ross, Academic Press<\/li>\n<li>Operations Research by S.D. Sarma,<\/li>\n<\/ol>\n<p><strong>REFERENCE BOOKS<\/strong><\/p>\n<ol>\n<li>Mathematics for Engineers by K.B.Datta and M.A S.Srinivas,Cengage Publications<\/li>\n<li>Probability and Statistics by T.K.V.Iyengar &amp; B.Krishna Gandhi Et<\/li>\n<li>Fundamentals of Mathematical Statistics by S C Gupta and V.K.Kapoor<\/li>\n<li>Probability and Statistics for Engineers and Scientists by Jay l.Devore.<\/li>\n<\/ol>\n<p><strong>Outcomes<\/strong><\/p>\n<ul>\n<li>Students would be able to identify distribution in certain realistic situation. It is mainly useful for circuit as\u00a0well as non-circuit branches of engineering. Also able to differentiate among many random variable\u00a0involved in the probability models. It is quite useful for all branches of engineering.<\/li>\n<li>The student would be able to calculate mean and proportions (small and large sample) and to make\u00a0important decisions from few samples which are taken out of unmanageably huge populations .It is\u00a0Mainly useful for non-circuit branches of engineering.<\/li>\n<li>The students would be able to find the expected queue length, the ideal time, the traffic intensity\u00a0and the waiting time. These are very useful tools in many engineering and data management problems\u00a0in the industry. It is useful for all branches of engineering.<\/li>\n<li>The student would able to understand about the random process, Markov process and Markov chains\u00a0which are essentially models of many time dependent processes such as signals in communications,\u00a0time series analysis, queuing systems. The student would be able to find the limiting probabilities and\u00a0the probabilities in nth state. It is quite useful for all branches of engineering.<\/li>\n<\/ul>\n<p><strong>For more information about all JNTU updates please stay connected to us on FB and don\u2019t hesitate to ask any questions in the comment.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>JNTUH B.Tech 2nd year Probability and Statistics gives you detail information about Probability and Statistics Engineering R13 year subject. It will be help full you to understand you complete curriculum [&hellip;]<\/p>\n","protected":false},"author":2259,"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":[2,152,121,62],"tags":[],"class_list":["post-869","post","type-post","status-publish","format-standard","hentry","category-cse","category-1st-sem-2","category-2nd-year","category-syllabus"],"_links":{"self":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts\/869","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/users\/2259"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/comments?post=869"}],"version-history":[{"count":4,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts\/869\/revisions"}],"predecessor-version":[{"id":17776,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/posts\/869\/revisions\/17776"}],"wp:attachment":[{"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/media?parent=869"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/categories?post=869"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inspirenignite.com\/jntuh\/wp-json\/wp\/v2\/tags?post=869"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}