Lecture 6 Continuous Random Variables-I

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Lecture 6 Continuous Random Variables-I Last Week Discrete Random Variables Cumulative Distribution Function (CDF) Averages Functions of DRV Expected Value of a DRV Reading Assignment: Chapter 2 Probability & Stochastic Processes Yates & Goodman (2nd Edition) NTUEE SCC_03_2008

Lecture 6: C. R.V.s (II) This Week Discrete Random Variables Variance and Standard Deviation Conditional PMF Reading Assignment: Sections 2.7-2.8 Probability & Stochastic Processes Yates & Goodman (2nd Edition) NTUEE SCC_03_2008

Lecture 6: Next Week: 溫書假 Next Time Continuous Random Variables CDF Probability Density Functions (PDF) Expected Values Families of CRVs Gaussian R.Vs Reading Assignment: Sections 3.1-3.4 Homework #2 Due at BL430 by 5:30pm, 4/1/2009 Midterm 4/23/2009, 3:30 – 5:30 Probability & Stochastic Processes Yates & Goodman (2nd Edition) NTUEE SCC_03_2008

Jacob Bernoulli (27 December 1654 – 16 August 1705) Following his father's wish, Jacob studied theology and entered the ministry. But contrary to the desires of his parents, he also studied mathematics and astronomy. He traveled throughout Europe from 1676 to 1682, learning about the latest discoveries in mathematics and the sciences. This included the work of Robert Boyle and Robert Hooke. Upon returning to Basel in 1682, he founded a school for mathematics and the sciences. He was appointed professor of mathematics at the University of Basel in 1687, remaining in this position for the rest of his life. http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Bernoulli_Jacob.html Ars Conjectandi (The Art of Conjecture): includes the application of probability theory to games of chance and his introduction of the theorem known as the law of large numbers.

Ping-Pong Scheme for Video Transmission Probability & Stochastic Processes Yates & Goodman (2nd Edition) NTUEE SCC_03_2008

Why Do We Need Skewness and Kurtosis? One Answer: Please read the following materials Histogram-Skewsness-Kurtosis.ppt Source: www.unc.edu/courses/2006spring/geog/090/001/www/Lectures/2006- Geog090-Week03-Lecture02-SkewsnessKurtosis.ppt

Random Variable Value and Event X = x  an event