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While for a [[discrete random variable]] one could say that an [[event]] with [[probability]] zero is impossible, this can not be said in the case of a continuous random variable, because then no value would be possible.
This [[paradox]] is solved by realizing that the probability that ''X'' attains a value
By another convention, the term "continuous random variable" is reserved for random variables that have [[probability density function]]s.
In practical applications random variables are often either discrete or continuous.
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[[pl:Ciągły rozkład prawdopodobieństwa]]
[[pt:Variável aleatória contínua]]
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