STA213lecture2.beamer_1

# STA213lecture2.beamer_1 - STA213: Introduction to...

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STA213: Introduction to Statistical Methods Instructor: Ioanna Manolopoulou TuThu 2.50-4.05 Physics 130 September 1, 2010

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Recap I Venn diagrams and deﬁnitions: union, intersection, subset, mutually exclusive I Properties of set operations I Deﬁnition of a probability function I Example: fair coin, dart board I Some theorems and inequalities
Today’s outline I Leftover from last time: Boole’s inequality I Counting: combinations and permutations I Sampling with and without replacement I Enumerating outcomes and calculating probabilities I Examples: birthday problem, poker hands.

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Boole’s Inequality If P is a probability function I P ( A ) = i =1 P ( A C i ) for any partition C 1 , C 2 , . . . . I P ( i =1 ) i =1 P ( A i ) for any sets A 1 , A 2 , . . . .
Counting 1.2.12 How likely is it to win the lottery? 1.2.13 What is the probability of winning a knock-out tournament with 16 participants? Permutations and combinations

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## This note was uploaded on 01/16/2011 for the course STAT 213 taught by Professor Ioannam during the Fall '09 term at Duke.

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STA213lecture2.beamer_1 - STA213: Introduction to...

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