Colleges

Course Description: Discrete Probability Distributions (Probability Mass Function and its properties - Expected Value, Variance, Standard Deviation, and Moment Generating Functions for discrete distributions). Continuous Probability Distributions (Probability Density Function and its properties - Expected Value, Variance, Standard Deviation, and Moment Generating Functions for continuous distributions). Discrete and Continuous Bivariate Random Variables and their properties (Expected value of a bivariate random variable, Covariance, Correlation Coefficient for a bivariate random variable, Variance of the sum or difference of two random variables, Moment Generating Functions for a bivariate random variable). Joint Distributions (Marginal and Conditional Distributions - Independence of Random Variables - Conditional Expectation). Distributions of Functions of Random Variables. Random Sampling (Sampling Distribution of the Sample Mean – Law of Large Numbers – Central Limit Theorem).