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Probability and Statistics Expectations of Discrete Random Variables • • • • • Dr. Saeid Moloudzadeh www.soran.edu.iq • • • • Contents Descriptive Statistics Axioms of Probability Combinatorial Methods Conditional Probability and Independence Distribution Functions and Discrete Random Variables Special Discrete Distributions Continuous Random Variables Special Continuous Distributions Bivariate Distributions 1 Probability and Statistics Contents • • • • • • • • • Descriptive Statistics Axioms of Probability Combinatorial Methods Conditional Probability and Independence Distribution Functions and Discrete Random Variables Special Discrete Distributions Continuous Random Variables Special Continuous Distributions Bivariate Distributions www.soran.edu.iq 2 Chapter 4: Distribution Functions and Discrete Random Variables • • • • • Context Random Variables. Distribution Functions. Discrete Random Variables. Expectations of Discrete Random Variables. Variances and Moments of Discrete Random Variables. www.soran.edu.iq 3 Chapter 4: Distribution Functions and Discrete Random Variables • • • • • Context Random Variables. Distribution Functions. Discrete Random Variables. Expectations of Discrete Random Variables. Variances and Moments of Discrete Random Variables. www.soran.edu.iq 4