131A_1_Lecture_1-2_Winter_2012

131A_1_Lecture_1-2_Winter_2012 - EE 131A Probability...

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UCLA EE131A (KY) 1 EE 131A Probability Professor Kung Yao Electrical Engineering Department University of California, Los Angeles Lecture 1-2
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UCLA EE131A (KY) 2 Set theory (1) • In probability, we deal with probability of events. • Often, we have to deal with various operations on these events and then evaluate their probabilities. • However, events are sets in mathematics. • Thus, operations involving events require various set operations. • While most you have had set theory before, we will introduce, define, and review these concepts fully in the next few vu graphs.
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UCLA EE131A (KY) 3 Set theory (2) •U n i o n of set A and set B , denoted by A B , consists of elements in A and as well as in B . • Symbolically, if A is denoted by the elliptical figure and B is denoted by the rectangular figure, then A B is denoted by the darkened figure • Ex. 1. A = {1,2} and B = {3,4}. Then A B = {1,2,3,4}. • Ex. 2. A = {1,2,3} and B = {3,4}. Then A B = {1,2,3,4}. Note: In Ex. 2, we do not write A B = {1,2,3,3,4}.
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This note was uploaded on 02/29/2012 for the course ELECTRICAL 131a taught by Professor Yao during the Spring '12 term at UCLA.

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131A_1_Lecture_1-2_Winter_2012 - EE 131A Probability...

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