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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 | ''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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| + | 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. | ||
Revision as of 16:52, 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 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. $
