2014 - 2015

0555-1140-03
  Probability for Biomedical engineering                                                               
FACULTY OF ENGINEERING
Yevgeny TsodikovichEngineering Studies - Classrooms206Mon1400-1500 Sem  2
 
 
University credit hours:  1.0

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

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