 2015 - 2016 | |||||||||||||||||||||||||||||
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| 0555-1140-01 | Probability for Biomedical engineering | ||||||||||||||||||||||||||||
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| FACULTY OF ENGINEERING | |||||||||||||||||||||||||||||
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University credit hours: 3.0
Course description
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Contents
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1
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Basics of probability: Probability Space, Sets, Events
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2
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Combinatory: n! , n over k, Probabilities over a symmetric sample space
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3
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Conditional probability: Bayes' theorem, Dependent and independent events
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4
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Random variables: Definitions of Discrete and continuous random variables
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5
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Random variables (cont.): Expectation, Variance
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6
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Random variables (cont.): special random variables – binom, geometric, hyper-geometric, Poisson (and Poisson process), exponential, Normal
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7
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Joint Distributions: Joint Distributions, Independent variables
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8
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Joint Distribution(cont): Conditional distributions, conditional expectation and variance Covariance, Pearson Correlation
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9
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Functions of several variables: Functions of several variables, sum of variables, expectation of sum of variables
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10
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Covariance: Variance of sum of variables, covariance, Pearson Correlation
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11
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More Random variables: bi-normal distribution, chi-square distribution, F-distribution
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12
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Central Limit Theorem: More on the Normal Distribution, , t-distribution
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13
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Distribution of Mean and Variance of a sample
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