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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 <math/> | + | ''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/> |
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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? | Uli said something in class I did not get here "for infinite S, watch the news". What does this even mean? | ||
Revision as of 18:02, 21 September 2008
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}<math/> Uli said something in class I did not get here "for infinite S, watch the news". What does this even mean? * 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 Ex. Consider rolling a fair die then for each s= 1,...,6 we have p(s)= 1/6 = 1/abs. S abs. $
