NGG430Protaistics fonr Chapter 2:Discrete Random Variables Instructor:Shengyu Zhang
Instructor: Shengyu Zhang
Content 0 Basic Concepts Probability Mass Function Functions of Random variables Expectation,Mean,and Variance Joint PMFs of Multiple Random Variables ■ Conditioning Independence
Content Basic Concepts Probability Mass Function Functions of Random Variables Expectation, Mean, and Variance Joint PMFs of Multiple Random Variables Conditioning Independence
Basic Concepts In some experiments,the outcomes are numerical. E.g.stock price. In some other experiments,the outcomes are not numerical,but they may be associated with some numerical values of interest. Example.Selection of students from a given population,we may wish to consider their grade point average. The students are not numerical,but their GPA scores are
Basic Concepts In some experiments, the outcomes are numerical. E.g. stock price. In some other experiments, the outcomes are not numerical, but they may be associated with some numerical values of interest. Example. Selection of students from a given population, we may wish to consider their grade point average. The students are not numerical, but their GPA scores are
Basic Concepts When dealing with these numerical values,it is useful to assign probabilities to them. This is done through the notion of a random variable. Random Variable X Sample Space 2 X Real Number Line
Basic Concepts When dealing with these numerical values, it is useful to assign probabilities to them. This is done through the notion of a random variable. Sample Space Ω Random Variable 𝑋 𝑥 Real Number Line
Main Concepts Related to Random Variables Starting with a probabilistic model of an experiment: A random variable is a real-valued function of the outcome of the experiment. A function of a random variable defines another random variable
Main Concepts Related to Random Variables Starting with a probabilistic model of an experiment: A random variable is a real-valued function of the outcome of the experiment. A function of a random variable defines another random variable