Chapter 3 formulas

# Chapter 3 formulas - Formulas Chapter Three Probability...

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Formulas Chapter Three: Probability Randall Miller 1 | Page Key Symbols o S Sample Space (collection of all sample points) o { } : 1, 2 A Set of sample points in event A o ( ) PA Probability of event A o AB ∪→ Union of events A and B (either A or B occur) o ∩→ Intersection of events A and B (both A and B occur) o c A Compliment of A (event A does not occur) o | Event A occurs, given that event B occurs o N n N C n  =   Number of combinations of N elements taken n at a time o ! N N factorial = ( )( ) ( )( ) 1 2 ... 2 1 NN N −− Formulas Probability Rules for Sample Points Let p 1 represent the probability of sample i 1. All sample point probabilities must lie between 0 and 1 (i.e., 01 i p ≤≤ ) 2. The probabilities of all the sample points within a sample space must sum to 1 (i.e., 1 1 n i i p = = ) Rules of Complements The sum of the probabilities of complementary events equals 1; that is, ( ) ( ) ( ) ( ) 1 1 c c PA PA += ⇒= Additive Rule of Probability The probability of the union of events A and

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## This note was uploaded on 07/23/2011 for the course STA 3123 taught by Professor Staff during the Fall '08 term at FIU.

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Chapter 3 formulas - Formulas Chapter Three Probability...

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