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Topic: Business
Number of pages / Number of words: 13 / 3549
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Lecture Notes ? MAP 5601 map5601LecNotes.tex 1 8/27/2003

that a refinement contains at least as much information as the original partition.

In the language of probability theory, a function on the sample space

is called a

random variable. This is because the value of such a function depends on the random

occurrence of a point of

...


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This is because the value of such a function depends on the random

occurrence of a point of

. However, without this interpretation, a random variable is just

a function.

Given a finite probability space (

, P) and the real-valued random variable X :

! IR

we define the expected value of X or expectation of X to be the weighted probability of

its values...


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