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Lecturenotes5 - STAT 430/510 Lecture 5 STAT 430/510...

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Unformatted text preview: STAT 430/510 Lecture 5 STAT 430/510 Probability Hui Nie Lecture 5 June 2nd, 2009 STAT 430/510 Lecture 5 Review Sample Spaces and Events Axioms and Properties of Probability Sample Spaces Having Equally Likely Outcomes STAT 430/510 Lecture 5 Conditional Probability The Probability of an event measures how often it will occur. A conditional probability predicts how often an event will occur under specified conditions. Notation: P ( E | F ) represents the conditional probability that event E occurs, given that event F has occurred. STAT 430/510 Lecture 5 Definition Definition If P ( F ) > 0, then P ( E | F ) = P ( EF ) P ( F ) The "condition" F contains partial knowledge. STAT 430/510 Lecture 5 Example A coin is flipped twice. Assuming that all four points in the sample space S = { ( H , H ) , ( H , T ) , ( T , H ) , ( T , T ) } are equally likely, what is the conditional probability that both flips land on heads, given that (a) the first flip lands on heads?...
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This note was uploaded on 06/28/2009 for the course STAT 430 taught by Professor Krieger during the Summer '08 term at UPenn.

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Lecturenotes5 - STAT 430/510 Lecture 5 STAT 430/510...

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