note05 - Chapter 2 Probability Section 1 Basic Ideas Set...

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Chapter 2. Probability Section 1: Basic Ideas Set Theory Experiment : the process that results in an outcome that cannot be predicted in advance with certainty ex) tossing a coin, measuring length of a pin from a process, etc. . Outcome : the result of a chance experiment ex) Sample Space ( S ): the set of all possible outcomes of an experiment ex) The sample space for Fipping 2 coins: ex) The sample space for length of a pin from a process which manufac- tures pins whose lengths vary between 4.5 and 5.5 cm: Event : a subset of a sample space Notation: A,B,C,. .. ex) List the event where you get the same face on both Fips: ex) List the event where a pin has a length less than 5.12 cm: Empty Event : an event that has no outcomes ( ) 1

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Some Relations from Set Theory Suppose we have two events of interest A and B Union of A and B : the set of outcomes that belong either to A , to B , or to both Symbol: Venn diagram: Intersection of A and B : the set of outcomes that belong
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note05 - Chapter 2 Probability Section 1 Basic Ideas Set...

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