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lecture02-sep10

# lecture02-sep10 - STAT 430 Probability Lecture 2 Fall 2007...

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STAT 430 Probability Lecture 2 Fall, 2007

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Homework HW1 (Due in Class on Monday, September 17): Section 1.1: 2, 3*, 5*, 6; Section 1.3: 2*, 4, 6, 8, 13*, 14*, 15*. Problems with * are suggested exercises. These problems are not graded.
Properties of Probability For any event A , P( A c ) = 1 - P( A ). If A B , then P( A ) P( B ). For any two events A and B , P( A B ) = P( A ) + P( B ) - P( A B ). For three events, A , B , and C , P( A B C ) = P( A ) + P( B ) + P( C ) - P( A B ) - P( A C ) - P( B C ) + P( A B C ).

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Properties of Probability If A 1 , A 2 , … A n is a partition of A , then P(A) = P( A 1 ) + P( A 2 ) + ...+ P( A n ) ( A 1 , A 2 , … A n is called a partition of A if A 1 A 2 A n = A and A 1 , A 2 , … A n are mutually exclusive.)
Example A diagnostic test for the AIDS virus has probability of .005 of producing a false positive. If the 140 employees of a medical clinic are tested and all are free of AIDS, what is the probability that at least one false positive will occur?

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lecture02-sep10 - STAT 430 Probability Lecture 2 Fall 2007...

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