09 19 2019 Continuous 1.pdf - Probability Statistics Continuous Random Variables Cumulative Distribution Functions Common Random Variables Probability

09 19 2019 Continuous 1.pdf - Probability Statistics...

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Probability & Statistics Continuous Random Variables Cumulative Distribution Functions Common Random Variables 1/24 Probability & Statistics Continuous Random Variables 1 TRAN Hoang Tung NGUYEN Minh Huong NGUYEN Mai Chung University of Science and Technology of Hanoi (USTH) September 19, 2019
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Probability & Statistics Continuous Random Variables Cumulative Distribution Functions Common Random Variables 2/24 The Course So Far What we have learnt?
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Probability & Statistics Continuous Random Variables Cumulative Distribution Functions Common Random Variables 2/24 The Course So Far What we have learnt? Probability model
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Probability & Statistics Continuous Random Variables Cumulative Distribution Functions Common Random Variables 2/24 The Course So Far What we have learnt? Probability model Discrete random variable: PMF, mean, variance
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Probability & Statistics Continuous Random Variables Cumulative Distribution Functions Common Random Variables 2/24 The Course So Far What we have learnt? Probability model Discrete random variable: PMF, mean, variance Multiple random variables: joint, marginal PMF
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Probability & Statistics Continuous Random Variables Cumulative Distribution Functions Common Random Variables 2/24 The Course So Far What we have learnt? Probability model Discrete random variable: PMF, mean, variance Multiple random variables: joint, marginal PMF Today
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Probability & Statistics Continuous Random Variables Cumulative Distribution Functions Common Random Variables 2/24 The Course So Far What we have learnt? Probability model Discrete random variable: PMF, mean, variance Multiple random variables: joint, marginal PMF Today Continuous random variable
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Probability & Statistics Continuous Random Variables Cumulative Distribution Functions Common Random Variables 2/24 The Course So Far What we have learnt? Probability model Discrete random variable: PMF, mean, variance Multiple random variables: joint, marginal PMF Today Continuous random variable Probability density function (PDF)
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Probability & Statistics Continuous Random Variables Cumulative Distribution Functions Common Random Variables 2/24 The Course So Far What we have learnt? Probability model Discrete random variable: PMF, mean, variance Multiple random variables: joint, marginal PMF Today Continuous random variable Probability density function (PDF) Expectation: mean, variance
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Probability & Statistics Continuous Random Variables Cumulative Distribution Functions Common Random Variables 2/24 The Course So Far What we have learnt? Probability model Discrete random variable: PMF, mean, variance Multiple random variables: joint, marginal PMF Today Continuous random variable Probability density function (PDF) Expectation: mean, variance Cumulative distribution function (CDF)
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Probability & Statistics Continuous Random Variables Cumulative Distribution Functions Common Random Variables 3/24 1 Continuous Random Variables Probability Density Function The Mean Expected Value Rule The Variance 2 Cumulative Distribution Functions Continuous Discrete 3 Common Random Variables Exponential Gaussian/Normal
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