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I moved this from the main page:

A random variable is continuous if the set of all possible values it can assume forms an interval, either finite or infinite.

The probability that a continuous random variable will take a value in any particular sub-interval is given by the probability density function.

Not every variable whose range is an interval (surely of positive length?) has a probability density function. Are continuous random variables those whose cdf if continuous? AxelBoldt

Something should be added relating to multivariate distributions, a little more about mixed continous-discrete distributions (example of rainfall perhaps), and about general decomposition in continuous, discrete etc components. Melcombe (talk) 17:01, 20 May 2008 (UTC)[reply]

Bizarre/confused mix of random variables and distributions that sometimes conflate the two. Also, everything can be improved.

The comment(s) below were originally left at Talk:Continuous probability distribution/Comments, and are posted here for posterity. Following several discussions in past years, these subpages are now deprecated. The comments may be irrelevant or outdated; if so, please feel free to remove this section.

Last edited at 12:11, 22 February 2008 (UTC). Substituted at 19:53, 1 May 2016 (UTC)