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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 clusters, set operations, classes and elements.
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R1, Section 1
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2
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Experiment with random outcome, sample point, sample spaces and events.
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R1, Section 2
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3
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Permutation
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R1, Section 3
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4
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Combination, Binom`s theorem
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R1, Section 4
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5
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Probability measure, probability space and some examples of probability spaces
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R1, Section 5
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6
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Discrete and continuous sample spaces and geometric probability
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R1, Section 6
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7
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Conditional probability, total probability formula, Bayes rule and independence of events.
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R1, Section 7
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8
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The concept of random variable
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R1, Section 8
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9
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Distribution of discrete random variable
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R1, Section 9
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10
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Distribution of continuous random variable
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R1, Section 10
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11
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Expected value, variance and application of random variable
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R1, Section 11
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12
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Two dimensional random variables and probability functions
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R1, Section 12
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13
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Conditional probability function, marginal functions,
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R1, Section 13
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14
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Conditional expected value and conditional variance, Distribution function
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R1, Section 14
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