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Probability density function.

$ wo 'PDF[ChiDistribution[n], x]'
Piecewise[{{(2^(1 - n/2)*x^(-1 + n))/(E^(x^2/2)*Gamma[n/2]), x > 0}}, 0]

The value argument threads over a list of points.

$ wo 'PDF[PoissonDistribution[3], {1, 2, 3}]'
{3/E^3, 9/(2*E^3), 9/(2*E^3)}