Flashcards
I. The Sample Space
Cards in this deck (13)
- 1Sample spaceAll the possible results of the experiment or observation in question
- 2EventResult of experiment or observation
- 3Simple event, sample pointsAn event that can not be split into multiple events in our idealized experiment model
- 4Compound eventAn event that can be defined as a set of simple events
- 5Notation: A=0Event A is impossible
- 6Notation: A'A' is a complementary event to A. It consists of all sample points, not contained in the event A.
- 7Notation: ABAB is an intersection (simultaneous realization) of events A and B. AB consists of all the sample points that belong to both events.
- 8Notation: A ∪ BA ∪ B is a union (realization of at least one). It consists of all the sample points that belong to at least one of the events.
- 9Discrete sample spaceA sample space is called discrete if it contains only finitely many points or infinitely many points which can be arranged in a simple sequence E1, E2, ...
- 10A notion of probability in a discrete sample spaceGiven a discrete sample space, we associate a number with each sample point. We call this value a probability of this sample point. All the probabilities should be non-negative and sum to 1.
- 11Probability of a compound eventThe probability P(A) of any event is the sum of the probabilities of all sample points in it.
- 12Probability of A ∪ BP(A∪B) = P(A) + P(B) - P(AB)
- 13Boole's inequality (probaility of union if n events)P(A1∪A2∪...∪An) <= P(A1) + P(A2) + ... + P(An)
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- Probability Theory and It's Applications - W. Feller Flashcards on I. The Sample Space, created by Sergei Fomin on 22/08/2017.
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- Sergei Fomin
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