(Sample Space)
 
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[[Category:MA375]]
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[[Category:math]]
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[[Category:discrete math]]
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[[Category:lecture notes]]
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=[[MA375]]: Lecture Notes=
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Fall 2008, Prof. Walther
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==Definitions==
 
==Definitions==
  
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A sample space is a set whose elements are called events.
 
A sample space is a set whose elements are called events.
  
''A Probability Function'' - is a function where p: S -> (real number) with p(s)being an element of [0,1] Further, In a case where S is a finite we have <math>\sum_{L exists in S} p(s)= 1
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''A Probability Function'' - is a function where p: S -> (real number) with p(s) being an element of [0,1] Further, In a case where S is a finite we have <math>\sum_{L exists in S}{p(s)}={1}</math>I- typed-quite-a-few-notes-for- this- day- but- went- to- check- it- and -got- an- error- in- this- equation.- Anyone- know- how -to- fix- this?-Jacob Ahlborn-
 
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Uli said something in class I did not get here "for infinite S, watch the news". What does this even mean?
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* Convention: FOr now we agree that s is finite and that p(s)=p for all choices of s in this case, if we think of elements of s as an outcome of experiment, then all outcomes have same chance to occur
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Ex. Consider rolling a fair die then for each s= 1,...,6 we have p(s)= 1/6 = 1/abs. S abs.
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[[Main_Page_MA375Fall2008walther|Back to MA375, Fall 2008, Prof. Walther]]

Latest revision as of 08:17, 20 May 2013


MA375: Lecture Notes

Fall 2008, Prof. Walther



Definitions

Sample Space

A sample space is a set whose elements are called events.

A Probability Function - is a function where p: S -> (real number) with p(s) being an element of [0,1] Further, In a case where S is a finite we have $ \sum_{L exists in S}{p(s)}={1} $I- typed-quite-a-few-notes-for- this- day- but- went- to- check- it- and -got- an- error- in- this- equation.- Anyone- know- how -to- fix- this?-Jacob Ahlborn-


Back to MA375, Fall 2008, Prof. Walther

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BSEE 2004, current Ph.D. student researching signal and image processing.

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