prob-1 - CDA6530: Performance Models of Computers and...

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DA6530: Performance Models of Computers and Networks CDA6530: Performance Models of Computers and Networks hapter 1: Review of Practical Chapter 1: Review of Practical Probability
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robability Definition Probability Definition ample Space (S) which is a collection of Sample Space (S) which is a collection of objects (all possible scenarios or values). ach object is a sample point. Each object is a sample point. Set of all persons in a room {1,2,…,6} sides of a dice {0,1} for shooter results (0,1) real number An event E is a set of sample points Event E S 2
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robability Definition Probability Definition robability P defined on events: Probability P defined on events: 0 P(E) 1 If E= P(E)=0; If E=S P(E)=1 If events A and B are mutually exclusive, P(A B) = P(A) + P(B) 3
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c the complement of event A: A is the complement of event A: A c = {w: w not in A} P(A c )=1-P(A) Union: A B = {w: w in A or B or both} Intersection: A B={w: in A and B} P(A B)=P(A)+P(B)-P(A B) How to prove it based on probability definition? or simplicity define P(AB)=P(A ) 4 For simplicity, define P(AB)=P(A B)
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onditional Probability Conditional Probability eaning of P(A|B) Meaning of P(A|B) Given that event B has happened, what is the
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This note was uploaded on 01/14/2012 for the course CDA 6530 taught by Professor Zou during the Fall '11 term at University of Central Florida.

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prob-1 - CDA6530: Performance Models of Computers and...

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