Outline of Lessons 6 10 Note Refer to the class discussion and textbook sections for details and additional information Lesson 6 Continuous RVs Pdf and cdf properties finding probabilities using pdf and cdf Expectation variance and standard deviation Expectation of a function of X general formula and linear function Moments Percentiles quartiles interquartile range Piece wise pdf Lesson 7 Uniform RVs Normal RVs pdf cdf finding probabilities mean variance standard normal RV standardization finding probabilities for standard nor mal and general normal RVs Z table for finding percentiles for standard normal and general normal RVs mean variance pdf finding probabilities summation approach connection to Poisson process pdf cdf finding probabilities memoryless property connection to Poisson pro cess special case of Gamma distribution mean variance pdf special case of Gamma distribution connection to Normal distribution Gamma RVs mean variance Exponential RVs Chi Square RVs mean variance Trick to avoid integration Lesson 8 Lesson 9 Lesson 10 and Y Distribution of a function of a RV cdf and pdf approaches Joint pmf for discrete RVs X and Y finding probabilities about X and Y Marginal pmfs finding marginal probabilities etc Expectation of a function of X and Y Conditional pmfs finding conditional probabilities expectations and variances Independence of X and Y Joint pdf for continuous RVs X and Y joint support finding probabilities about X Marginal pdfs finding marginal probabilities etc Expectation of a function of X and Y Conditional pdfs finding conditional probabilities expectations and variances Independence of X and Y