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The probability distribution function (pdf) is defined over a domain which contains at least one interval in which the pdf is positive for all values.

Usually the domain is either the whole of the real numbers or the positive real numbers, but it can be a finite interval: for example, the uniform continuous distribution.

Also, trivially,

the pdf is always non-negative,

the integral of the pdf, over the whole real line, equals 1.

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Q: What are the characteristics of continuous distribution?
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