131A_1_Lecture_5-2_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 5-2
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UCLA EE131A (KY) 2 Binomial Probability Law (1) Consider a binary-valued experiment with outcomes called a success ( S ) or a failure ( F ). This experiment can model the flip of a coin, with a Head ( H ) associated with a success S and a Tail ( T ) associated with a failure F . Furthermore, let the probability of a H be denoted by P( H ) = P( S ) = p and the probability of a T be denoted by P( T ) = P( F ) = q = 1 – p. The sample space S = { H , T }. Ex. 1. Toss a coin three times. Assume the outcomes of the three trials are independent. What is the sample space of this experiment?
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