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What is an event? How do you work with multiple events? What if those events are related?",{"type":1374,"value":1377},"You will take your counting skills to the next level with the advanced technique of combinatorics. Once you learn Bayes Theorem, you can update your prior beliefs with new information.",{"type":1379,"name":1380,"value":1381},"Scale 5","Difficulty","2","1",{"id":1384,"name":1385,"ordinal":1386,"minWeight":1387,"maxWeight":1387,"contentStats":1388,"meta":1395,"shortname":1381},4836,"Univariate Probability Distributions",2,0.41,{"wordCount":1389,"assignmentQuestionCount":1390,"videoDurationInMinutes":1391,"practiceQuestionCount":1392,"characterCount":1393,"learnManualCount":1394},46274,17,446,711,356449,55,[1396,1398,1400],{"type":1374,"value":1397},"If you need probabilities for more than a few events, you can use distributions. Distributions can be discrete or continuous. You will learn properties of the distribution, from means to moments.",{"type":1374,"value":1399},"You will also work with common distributions like Poisson and exponential. These distributions have well-defined properties and unique characteristics.",{"type":1379,"name":1380,"value":1401},"3",{"id":1403,"name":1404,"ordinal":970,"minWeight":1364,"maxWeight":1364,"contentStats":1405,"meta":1411,"shortname":1401},4854,"Multivariate Probability Distributions",{"wordCount":1406,"assignmentQuestionCount":244,"videoDurationInMinutes":1407,"practiceQuestionCount":1408,"characterCount":1409,"learnManualCount":1410},27254,234,449,204981,26,[1412,1414],{"type":1374,"value":1413},"Why limit yourself to a single random variable when you can have several? You'll learn the difference between conditional and marginal probability density functions. You can't have multiple variables without considering covariance.",{"type":1379,"name":1380,"value":1415},"4",{"id":1417,"name":1418,"ordinal":1419,"minWeight":1420,"maxWeight":1420,"contentStats":1421,"meta":1427,"shortname":1415},4862,"Insurance and Risk Management",4,0.07,{"wordCount":1422,"assignmentQuestionCount":1419,"videoDurationInMinutes":1423,"practiceQuestionCount":1424,"characterCount":1425,"learnManualCount":1426},11482,89,129,84646,13,[1428,1430],{"type":1374,"value":1429},"In this short section, you will learn basic insurance mechanics. Deductibles, policy limits, and coinsurance are all methods to lower the cost of insurance.",{"type":1379,"name":1380,"value":1401}]