var caption_embed39 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/the-kings-sibling/iPWyElxtk-8.srt'}The King's Sibling, L04.1 Flash and JavaScript are required for this feature. The authors have made this Selected Summary Material (PDF) available for OCW users. 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Flash and JavaScript are required for this feature. Flash and JavaScript are required for this feature. Flash and JavaScript are required for this feature. 3.2 Cumulative Distribution Functions11 Let us also derive an expression for the probability that the time when a meteorite first lands will be between 6am and 6pm of some day. var caption_embed60 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/supplement-functions/Xwd4ABlO0Dc.srt'}Supplement: Functions, L06.1 var caption_embed133 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/conditional-expectation-as-a-random-variable/strrrdJivco.srt'}Conditional Expectation as a Random Variable, Conditional Expectation as a Random Variable, L13.3 Problems like those Pascal and Fermat solved continuedto influence such early researchers as Huygens, Bernoulli, and DeMoivre in establishing a mathematical theory of probability. Flash and JavaScript are required for this feature. .pagecontainer {display:none;} Introduction to Probability Learn probability, an essential language and set of tools for understanding data, randomness, and uncertainty. Flash and JavaScript are required for this feature. Flash and JavaScript are required for this feature. .pagecontainer {display:none;} Flash and JavaScript are required for this feature. Part I: The Fundamentals. License: Creative Commons BY-NC-SA. Introduction to Probability. Flash and JavaScript are required for this feature. The text can also be used in a discrete probability course. var caption_embed72 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/independence-of-random-variables/F6H50Hbulbk.srt'}Independence of Random Variables, L07.5 I would also recommend the free MIT course at edX, Introduction to Probability - The Science of Uncertainty, taught by … The book is the currently used textbook for "Probabilistic Systems Analysis," an introductory probability course at the Massachusetts Institute of Technology, attended by a … Send to friends and colleagues. Flash and JavaScript are required for this feature. var caption_embed126 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/the-correlation-coefficient/HTs6Zhc2S1M.srt'}The Correlation Coefficient, L12.9 var caption_embed26 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/a-radar-example-and-three-basic-tools/uL31gpFdarc.srt'}A Radar Example and Three Basic Tools, > Download from Internet Archive (MP4 - 13), L02.6 .pagecontainer {display:none;} var caption_embed53 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/uniform-random-variables/JoQDJMZA7F8.srt'}Uniform Random Variables, L05.6 .pagecontainer {display:none;} var caption_embed89 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/lecture-overview-8/G11r4Srh4u8.srt'}Lecture Overview, L09.2 The contents of the two parts of the course are essentially the same as those of the corresponding MIT class, which has been offered and continuously refined over more than 50 years. About MIT OpenCourseWare. Athena Scientific, 2008. FALL 2000 Introduction Flash and JavaScript are required for this feature. .pagecontainer {display:none;} .pagecontainer {display:none;} var caption_embed62 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/variance/ZWo1XgAQE5k.srt'}Variance, L06.3 Flash and JavaScript are required for this feature. Download files for later. by Dimitri P. Bertsekas and John N. Tsitsiklis. var caption_embed55 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/geometric-random-variables/whbKmwMmB4s.srt'}Geometric Random Variables, L05.8 Flash and JavaScript are required for this feature. var caption_embed140 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/section-means-and-variances/BjjkSM1Dasg.srt'}Section Means and Variances, L13.10 Introduction to Probability Dimitri P. Bertsekas and John N. Tsitsiklis Professors of Electrical Engineering and Computer Science Massachusetts Institute of Technology ... jnt@mit.edu v. 1 Sample Space and Probability Contents 1.1. var caption_embed123 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/covariance/K2Tlj27nkjs.srt'}Covariance, L12.6 var caption_embed84 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/mean-variance-of-the-uniform/bXmDp8R8n8U.srt'}Mean & Variance of the Uniform, L08.6 Probability - The Science of Uncertainty and Data Build foundational knowledge of data science with this introduction to probabilistic models, including random processes and the basic elements of statistical inference -- Part of the MITx MicroMasters program in Statistics … var caption_embed91 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/conditioning-example/5CHUuMZZzSY.srt'}Conditioning Example, L09.4 .pagecontainer {display:none;} MIT RES.6-012 Introduction to Probability, Spring 2018 by MIT OpenCourseWare. var caption_embed47 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/each-person-gets-an-ace/IC-pnm6PEGk.srt'}Each Person Gets An Ace, > Download from Internet Archive (MP4 - 11MB), L04.9 RES.6-012 Introduction to Probability. Flash and JavaScript are required for this feature. It covers the same content, using videos developed for an edX version of the course. .pagecontainer {display:none;} .pagecontainer {display:none;} Flash and JavaScript are required for this feature. Home .pagecontainer {display:none;} We additionally come up with the money for variant types and moreover type of the books to browse. var caption_embed13 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/de-morgans-laws/pdR9hV8mRWE.srt'}De Morgan's Laws, S01.3 Flash and JavaScript are required for this feature. .pagecontainer {display:none;} var caption_embed88 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/calculation-of-normal-probabilities/DrBIORgOzSA.srt'}Calculation of Normal Probabilities, > Download from Internet Archive (MP4 - 19MB), L09.1 Flash and JavaScript are required for this feature. Probability theory began in seventeenth century France when the two great French mathematicians, Blaise Pascal and Pierre de Fermat, corresponded over two problems from games of chance. .pagecontainer {display:none;} probability is covered, students should have taken as a prerequisite two terms of calculus, including an introduction to multiple integrals. .pagecontainer {display:none;} Probability and statistics help to bring logic to a world replete with randomness and uncertainty. This course is a follow-up to Introduction to Probability: Part I - The Fundamentals, which introduced the general framework of probability models, multiple discrete or continuous random variables, expectations, conditional distributions, and various powerful tools of general applicability. .pagecontainer {display:none;} Flash and JavaScript are required for this feature. Flash and JavaScript are required for this feature. var caption_embed27 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/the-multiplication-rule/ugzs7dgQ-JE.srt'}The Multiplication Rule, L02.7 > Download from Internet Archive (MP4 - 5MB), L01.2 .pagecontainer {display:none;} .pagecontainer {display:none;} var caption_embed54 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/binomial-random-variables/jOC4ATKBWlI.srt'}Binomial Random Variables, L05.7 var caption_embed29 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/bayes-rule/kz2tvO_ZAKI.srt'}Bayes' Rule, L03.1 3rd ed. Introduction to Probability, The role of probability theory is to provide a framework for analyzing phenomena with uncertain outcomes. This course provides an elementary introduction to probability and statistics with applications. » ISBN: 9781886529236. .pagecontainer {display:none;} var caption_embed76 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/the-hat-problem/Kycmb2IwV-Y.srt'}The Hat Problem, > Download from Internet Archive (MP4 - 21MB), S07.1 var caption_embed132 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/lecture-overview-12/zc6PfijY8_s.srt'}Lecture Overview, L13.2 Freely browse and use OCW materials at your own pace. Flash and JavaScript are required for this feature. Flash and JavaScript are required for this feature. var caption_embed109 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/inference-of-the-bias-of-a-coin/wnts35dE1Sg.srt'}Inference of the Bias of a Coin, L11.1 With more than 2,400 courses available, OCW is delivering on the promise of open sharing of knowledge. .pagecontainer {display:none;} var caption_embed86 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/cumulative-distribution-functions/4QeL1ma_XJ0.srt'}Cumulative Distribution Functions, L08.8 .pagecontainer {display:none;} Flash and JavaScript are required for this feature. Flash and JavaScript are required for this feature. Flash and JavaScript are required for this feature. These tools underlie important advances in many fields, from the basic sciences to engineering and management. 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