131A_1_Closed_Books_Exam_June_11_08

131A_1_Closed_Books_Exam_June_11_08 - EE131A Spring 08...

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EE131A Spring 08 Materials responsible in the Closed Book Exam
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Materials responsible for Closed Book Exam deterministic model / probabilistic model statistical regularity relative frequency => probability random experiments sample space / sample points event / certain event / null event discrete sample space / continuous sample space
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union / intersection / disjoint (or mutually exclusive) / complement DeMorgan’s rules n k P =n×(n-1)×(n-2) ×(n-k+1) " four basic methods of sampling k objects out of a set of n distinct objects sampling with replacement or without replacement sampling with ordering or without ordering Method 1-Sampling with replacement and ordering total number of distinct ordered k-tuple, N k = n k Method 2-Sampling without replacement & with ordering : permutation total number of distinct ordered outcomes of k items taken from n items without replacement
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method 2’- sampling without seplacement & with srdering (permutation) when k = n. total number of distinct ordered outcomes in a permutation of n items taken from n items is given by method 3- combination – (sampling without replacement & without ordering) total number of combinations of k objects from n objects n n P =n×(n-1)×(n-2) ×2 1= n!= n factorial × " n n k k n P n! C k k! (n-k)!k! ⎛⎞ == = ⎜⎟ ⎝⎠
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Venn diagram Properties of a probability function P(.) discrete sample space elementary event equally likely outcomes continuous sample space conditional probability P( ) Area( ) P( | )= ~ .
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This note was uploaded on 02/09/2011 for the course EE 131A taught by Professor Lorenzelli during the Spring '08 term at UCLA.

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131A_1_Closed_Books_Exam_June_11_08 - EE131A Spring 08...

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