Chapter02 - Probability definitions • Random process: a...

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Probability definitions Random process : a process whose outcome can not be predicted with certainty Sample space (S) : the collection of all possible outcomes to a random process Event (A,B) : a collection of possible outcomes Simple : one outcome Compound : more than one outcome Probability : a number between 0 and 1 (inclusive) indicating the likelihood that the event will occur
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Set theory review Union ( ) – all elements in A or B Intersection ( ) - all elements in A and B Complement ( ) – all elements not in the set Mutually exclusive – two events are mutually exclusive if they have no outcomes in common Venn Diagram A B U A B I c A
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Elementary probability The proportion of times that an event A occurs converges to the probability of A , P(A) , as the number of repetitions becomes large. Test your psychic ability !
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Probability with equally likely outcomes If a sample space is composed of k equally likely outcomes with m outcomes contained in A , then P(A) = m/k . Two way classification for the salary data: Randomly select a student from the survey group, what is the probability that
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This note was uploaded on 10/14/2008 for the course STAT 211 taught by Professor Parzen during the Spring '07 term at Texas A&M.

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Chapter02 - Probability definitions • Random process: a...

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