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Week
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Topics
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Study Metarials
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1
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Introduction to probability, sample space and event, compound event, probability axioms, finite probability spaces, finite co-probability spaces
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R2-Chapter 1
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2
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Conditional probability, tree diagrams, Bayes theorem, independence, repeated experiments, axiomatic axioms of conditional probability
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R3-Chapter 2
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3
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Distribution and density functions of continuous and discrete random variables, mean and standard deviation values
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R4-Chapter 3
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4
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Moment concept, relation between moments, moment output function, Chebyshev inequality, big numbers law
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R1-Chapter 4
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5
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Discrete distributions: Bernoulli, two-term, multi-term, geometric, Pascal, Poisson and Hypergeometric distributions
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R1-Chapter 5
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6
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Continuous distributions: Smooth, Exponential, Normal distributions
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R1-Chapter 6
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7
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Gamma, Chi-square, student t and beta distributions
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R1-Chapter 7
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8
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Bivariate discrete and continuous random variables
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R1-Chapter 8
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9
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Conditional probability density function
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R1-Chapter 9
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10
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Covariance, correlation and correlation coefficient concepts
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R1-Chapter 10
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11
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Sampling, statistical estimation, estimated confidence interval
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R1-Chapter 11
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12
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Hypothesis testing, strength of the test, independence test, conformity test
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R1-Chapter 12
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13
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Regression analysis: linear regression, least squares method, multiple regression
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R1-Chapter 13
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14
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Analysis of variance
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R1-Chapter 14
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