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Week
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Topics
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Course Outcomes
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1
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Review of some Combinatorics: The Basic principle of Counting, Permutations, Combinations, Binomial Coefficients.
Statistical Inference, The role of Probability, The Sample Mean, Measures of Variability, Discrete and Continuous Data, Graphical Methods and Data Description.
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I
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2
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Sample space, Events, Probability of an Event, Some Rules of Probability
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I-II
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3
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Conditional Probability, Independent Events, Baye’s Rule
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II-III
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4
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Concept of a Random Variable, Discrete Probability Distributions, Continuous Probability Distributions.
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II-III
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5
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Joint Probability Distributions, Conditional Probability Distributions, Probability Density Functions.
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II-III
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6
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Expected value of a Random Variable, Variance and Covariance.
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II-III-IV
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7
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Expected Values and Variances of Linear combinations of Random Variables, Chebyhev’s Theorem, Moments Generating Functions, Conditional Expectations.
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II-III-IV
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8
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MIDTERM
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9
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Discrete Uniform Distribution, Binomial and Multinomial Distributions, Negative Binomial and Geometric Distributions, Poisson Distribution.
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II-III-IV
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10
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Continuous Uniform Distribution, Normal Distribution, Gamma and Exponential Distributions, Chi-squared Distribution.
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II-III-IV
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11
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Random Sampling, Some Important Statistics, Sampling Distributions, t-distribution, F-distribution.
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III-IV-V
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12
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Distributions of Sampling Statistics, Parameter Estimation
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V-VI
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13
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Statistical Hypotheses: General Concepts, Testing a Statistical Hypotheses
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VI-VII
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14
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Regression Analysis
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VI-VII
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