Flash and JavaScript are required for this feature. var caption_embed33 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/independence-of-event-complements/JZkT3NU2mPM.srt'}Independence of Event Complements, L03.5 var caption_embed38 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/reliability/UDkq_cLVSmc.srt'}Reliability, L03.10 Massachusetts Institute of Technology. var caption_embed114 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/the-pdf-of-a-general-function/X-AzW70e2M0.srt'}The PDF of a General Function, L11.6 It’s a generalization of the summation to an infinite amount of values. var caption_embed10 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/interpretations-uses-of-probabilities/uGGTX2ypzKI.srt'}Interpretations & Uses of Probabilities, > Download from Internet Archive (MP4 - 4MB), S01.0 The agent’s learning process often revolves around quantifying the uncertainty of the utility of taking one specific action over another. Flash and JavaScript are required for this feature. So on average, we’ll loose $1 every time we play! Fundamentals of Probability Study Notes contains 27 pages covering the following learning objectives: * Describe an event and an event space. Flash and JavaScript are required for this feature. The probabilistic model quantifies uncertainty, the regular function does not. Flash and JavaScript are required for this feature. We’d like to have ways of reducing the data to a lower dimension without loosing too much information. So in this case P(x|y) = P(x)! I’m guessing you don’t believe me, but let’s think about it together while we revisit our axioms. Flash and JavaScript are required for this feature. Explore what probability means and why it's useful. .pagecontainer {display:none;} Met deze cookies kunnen wij en derde partijen jouw internetgedrag binnen en buiten bol.com volgen en verzamelen. Probability distributions are described differently depending on if the random variable is discrete or continuous. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. To make this more clear, let’s consider two random variables x and y. .pagecontainer {display:none;} .pagecontainer {display:none;} The videos in Part I introduce the general framework of probability models, multiple discrete or continuous random variables, expectations, conditional distributions, and various powerful tools of general applicability. var caption_embed105 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/independent-normals/qOQxeYGOIag.srt'}Independent Normals, L10.8 N.E. Je kunt je cookievoorkeuren altijd weer aanpassen. So the area under the PDF represents the total probability of the Gaussian! Flash and JavaScript are required for this feature. var caption_embed16 ={'English - US': '/resources/res-6-012-introduction-to-probability-spring-2018/part-i-the-fundamentals/infinite-series/nYe4OZVCnIs.srt'}Infinite Series, S01.6