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ProbabilityDistribution
ProbabilityDistribution[pdf, {x, xmin, xmax}]
represents the continuous distribution with PDF pdf in the variable x where the pdf is taken to be zero for 
and 
.
ProbabilityDistribution[pdf, {x, xmin, xmax, dx}]
represents the discrete distribution with PDF pdf in the variable x where the pdf is taken to be zero for 
and 
.
ProbabilityDistribution[pdf, {x, ...}, {y, ...}, ...]
represents a multivariate distribution with PDF pdf in the variables x, y, ..., etc.
ProbabilityDistribution[{"CDF", cdf}, ...]
represents a probability distribution with CDF given by cdf.
ProbabilityDistribution[{"SF", sf}, ...]
represents a probability distribution with survival function given by sf.
ProbabilityDistribution[{"HF", hf}, ...]
represents a probability distribution with hazard function given by hf.
