Outline of Lessons 1 5 Note Refer to the class discussion and textbook sections for details and additional information Lesson 1 Lesson 2 Lesson 3 Lesson 4 Random experiments equally likely outcomes Basic Principle of Counting basic enumeration techniques Multinomial coefficients Number of integer solution of equations Random experiments sample space Events and set operations properties Probability and its properties Conditional probability properties multiplication rule Law of Total Probability and Bayes Theorem Independence of two events independence of more than two events Discrete random variables RVs Pmf and cdf properties finding probabilities using pmf and cdf Expectation variance and standard deviation Expectation of a function of X general formula and linear function Moments Lesson 5 Binomial RVs pmf finding probabilities mean variance Negative Binomial RVs pmf finding probabilities mean variance Geometric RVs special case of Negative Binomial pmf cdf finding probabilities memoryless property mean variance Poisson RVs pmf finding probabilities rate adjustment mean variance Poisson approximation to Binomial Hypergeometric RVs pmf finding probabilities mean variance Expectations of sums of RVs