420day2 - STATISTICS 420 RECITATION - Winter 2008 Jan 10,...

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Unformatted text preview: STATISTICS 420 RECITATION - Winter 2008 Jan 10, 2008 TA : Soma Roy ([email protected]) Office Hours : Fridays 9:18 to 11:18 am OR by appointment, MA 422 Chapter 2: Key Ideas • Sample Space: is the set of all possible outcomes of an experiment. • Mutually Exclusive: Two events A and B are mutually exclusive when they have no outcomes in common (or cannot both happen.) • Some Rules of Probability: 1. P ( A ) = 1- P ( A ) . 2. P ( ∅ ) = 0 . 3. If A and B are events in a sample space S and A ⊂ B, then P ( A ) ≤ P ( B ) . 4. 0 ≤ P ( A ) ≤ 1 for any event A . • General Addition Rule: P ( A ∪ B ) = P ( A ) + P ( B )- P ( A ∩ B ) This can be generalized. For example, for 3 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 ) • Conditional probability: P ( B | A ) is the conditional probability of the event B given the event A has occured. Then, provided P ( A ) 6 = 0, P ( B | A ) = P ( A ∩ B ) P ( A ) • Multiplication Rule: (from the definition of conditional probability)...
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This note was uploaded on 12/16/2011 for the course CS cs102 taught by Professor Rsharma during the Spring '11 term at IIT Kanpur.

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420day2 - STATISTICS 420 RECITATION - Winter 2008 Jan 10,...

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