If a sample space (S) is an infinite set, does this necessarily imply that any rv X defined from S will have an infinite set of possible values? If yes, say why. If no, give an example

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter0: Preparing For Algebra
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If a sample space (S) is an infinite set, does this necessarily imply that any rv X
defined from S will have an infinite set of possible values? If yes, say why. If no, give
an example.

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