Probability review

# Probability review - Chapter 2 Sample space the set of all...

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Chapter 2 Sample space- the set of all possible outcomes of a random experiment (denoted by S) Discrete- a sample space that consists of a finitie or countable infinite set of outcomes Continuous- a samplce space that contains an interval (either finitie or infinite) real numbers Event- the subset of the sample space of a random experiment Union - (of 2 events) is the event that consists of all outcomes of the 2 events Intersection - (of 2 events) is the event that consists of all the events that the 2 events share Complement- (of an event) is the set consisting of everything that Is not in the event Mutually Exclusive Events- two events E 1 and E 2 such that E 1 ∩ E 2 = Φ (null set) Discrete Sample Space- those with only a finite set of outcomes Probability - used to quantify the likelihood that an outcome of a random experiment will occur. Whenever a sample space consists of N possible outcomes that are equally likely, the probability of each outcome is 1/N For a discrete sample space, the probability of an event E , denoted as P(E), equals the sum of the probabilities of the outcomes in E Axioms of Probability Probability is a number that is assigned to each member of a collection of events from a random experiment that satisfies the following properties: If S is the sample space and E is any event in a random experiment, 1) P(S) = 1 2) 0≤P(E)≤1 3) For two events E 1 and E 2 with E 1 ∩ E 2 = Φ P(E 1 U E 2 ) = P(E 1 ) + P(E 2 )

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Probability review - Chapter 2 Sample space the set of all...

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