lecture03-sep12

# lecture03-sep12 - STAT 430 Probability Lecture 3 Fall 2007...

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STAT 430 Probability Lecture 3 Fall, 2007

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Review Sample spaces with equally likely outcomes. Counting techniques Product rule Permutation Combination
Properties A combinatorial Identity: The Binomial Theorem: An Identity: . 1 , 1 1 1 n k k n k n k n - + - - = . ) ( 0 k n k n k n y x k n y x - = = + . 2 0 n n k k n = =

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Multinomial A set of n distinct items is to be divided into r distinct groups of respective size n 1 , n 2 , …, n r , where Σ n i = n. How many different divisions are possible? These are called the multinomial coefficients. The Multinomial Theorem: = - - - - - r r r r n n n n n n n n n n n n n n n n n ,..., , ! ! !
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## This note was uploaded on 06/19/2010 for the course STAT 431 taught by Professor Stroud during the Fall '08 term at UPenn.

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lecture03-sep12 - STAT 430 Probability Lecture 3 Fall 2007...

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