课程目录: 1·1.Probability and Statistics_ Overview _Chinese_tr 2·2.Gentle Introduction to Probability_ Counting Coi 3·3.Counting Probabilities with Combinatorics and th 4·4.Set Theory in Probability_ Sample Spaces and Eve 5·5.The Birthday Problem in Probability_ P(A) = 1 - 6·6.Quality Control, Non-Destructive Inspection, and 7·7.The Binomial Distribution and the Multinomial Di 8·8.Conditional Probabilities _Chinese_translated 9·9.The Law of Total Probability_Chinese_translated 10·10.Bayes' Theorem (with Example!) _Chinese_transla 11·11.Bayes' Theorem Example_ Drug Testing 12·12.Independence in Probability _Chinese_translated 13·13.Random Variables and Probability Distributions 14·14.Bernoulli and Binomial Random Variables _Chines 15·15.The Normal Distribution_ The Limit of Binomial 16·16.The Standard Unit Normal and Probability Comput 17·17.The Poisson Distribution_ The Rare Event Limit 18·18.The Geometric Distribution_ The First Success o 19·19.The Exponential Distribution_ Time Between Pois 20·20.The Hazard Rate and Memoryless Property of the 21·21.The Connection Between the Exponential Distribution and the Poisson Process _ 22·22.The Gamma Distribution _Chinese_translated 23·23.Functions of a Random Variable_Chinese_translated 24·24.Rescaling the Normal Distribution to Mean Zero and Variance One _Chinese_tran 25·25.The Chi Squared Distribution_ The Square of the Normal Distribution _Chinese_ 26·26.Joint Probability Distributions_Chinese_translated 27·27.Joint Probability Distributions_ Marginal and Conditional Densities -_Chinese 28·28.The Expected Value (Mean) of a Probability Distribution _Chinese_translated 29·29.Properties of the Expected Value _Chinese_translated 30·30.Variance and Standard Deviation _Chinese_translated 31·31.Example of Computing the Expectation and Variance of an Exponential Distribut 32·32. Examples of Expected Values & Functions_ Temperature in C vs F, and the Kine 33·33.Markov's Inequality in Probability_ First Order Estimates _Chinese_translated 34·34.Chebyshev's Inequality in Probability_ Second Order Estimates _Chinese_transl 35·35.The Law of Large Numbers_Chinese_translated 36·36.The Central Limit Theorem _Chinese_translated