09 12 2019 Discrete 1.pdf - Probability Statistics Discrete Random Variables Common Random Variables Expectation Probability Statistics Discrete Random

09 12 2019 Discrete 1.pdf - Probability Statistics Discrete...

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Probability & Statistics Discrete Random Variables Common Random Variables Expectation 1/23 Probability & Statistics Discrete Random Variables 1 TRAN Hoang Tung NGUYEN Minh Huong NGUYEN Mai Chung University of Science and Technology of Hanoi (USTH) September 12, 2019
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Probability & Statistics Discrete Random Variables Common Random Variables Expectation 2/23 The Course So Far What we have learnt?
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Probability & Statistics Discrete Random Variables Common Random Variables Expectation 2/23 The Course So Far What we have learnt? Probability model, conditional probability, total probability theorem, Bayes’ rule
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Probability & Statistics Discrete Random Variables Common Random Variables Expectation 2/23 The Course So Far What we have learnt? Probability model, conditional probability, total probability theorem, Bayes’ rule Independence, conditional independence
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Probability & Statistics Discrete Random Variables Common Random Variables Expectation 2/23 The Course So Far What we have learnt? Probability model, conditional probability, total probability theorem, Bayes’ rule Independence, conditional independence Counting
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Probability & Statistics Discrete Random Variables Common Random Variables Expectation 2/23 The Course So Far What we have learnt? Probability model, conditional probability, total probability theorem, Bayes’ rule Independence, conditional independence Counting Today
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Probability & Statistics Discrete Random Variables Common Random Variables Expectation 2/23 The Course So Far What we have learnt? Probability model, conditional probability, total probability theorem, Bayes’ rule Independence, conditional independence Counting Today Discrete random variable
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Probability & Statistics Discrete Random Variables Common Random Variables Expectation 2/23 The Course So Far What we have learnt? Probability model, conditional probability, total probability theorem, Bayes’ rule Independence, conditional independence Counting Today Discrete random variable Probability mass function (PMF)
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Probability & Statistics Discrete Random Variables Common Random Variables Expectation 2/23 The Course So Far What we have learnt? Probability model, conditional probability, total probability theorem, Bayes’ rule Independence, conditional independence Counting Today Discrete random variable Probability mass function (PMF) Expectation: mean, variance
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Probability & Statistics Discrete Random Variables Common Random Variables Expectation 3/23 1 Discrete Random Variables Definition Probability Mass Function 2 Common Random Variables Bernoulli Uniform Binomial Geometric 3 Expectation The Mean Expected Value Rule The Variance
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Probability & Statistics Discrete Random Variables Definition Probability Mass Function Common Random Variables Expectation 4/23 1 Discrete Random Variables Definition Probability Mass Function 2 Common Random Variables 3 Expectation
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Probability & Statistics Discrete Random Variables Definition Probability Mass Function Common Random Variables Expectation 5/23 Discrete Random Variables An example
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Probability & Statistics Discrete Random Variables
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