Random variable: Difference between revisions

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The distribution, not the random variable, is characterized.
It is not necessary to assume this rv is continuous, since density functions are not mentioned.
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==== Example ====
 
Let ''X'' be a [[continuousreal-valued random variable]] and let ''Y'' = ''X''<sup>2</sup>. Then,
:F<sub>''Y''</sub>(''y'') = Prob(''X''<sup>2</sup>&le;y).