ExponentialDistribution[\[Lambda]] represents an exponential distribution with scale inversely proportional to parameter \[Lambda].
Quantile[list, q] gives the q\[Null]\[Null]^th quantile of list. Quantile[list, {q_1, q_2, ...}] gives a list of quantiles q_1, q_2, .... Quantile[list, q, {{a, b}, {c, d}}] ...
Probability[pred, x \[Distributed] dist] gives the probability for an event that satisfies the predicate pred under the assumption that x follows the probability distribution ...
ProductDistribution[dist_1, dist_2, ...] represents the joint distribution with independent component distributions dist_1, dist_2, ....
MixtureDistribution[{w_1, ..., w_n}, {dist_1, ..., dist_n}] represents a mixture distribution whose CDF is given as a sum of the CDFs of the component distributions dist_i, ...
DistributionChart[{data_1, data_2, ...}] makes a distribution chart with a distribution symbol for each data_i.DistributionChart[{..., w_i[data_i, ...], ..., w_j[data_j, ...
Moment
(Built-in Mathematica Symbol) Moment[list, r] gives the r\[Null]^th sample moment of the elements in list.Moment[dist, r] gives the r\[Null]^th moment of the symbolic distribution dist.Moment[..., {r_1, ...
CensoredDistribution[{x_min, x_max}, dist] represents the distribution of values that come from dist and are censored to be between x_min and ...
NExpectation[expr, x \[Distributed] dist] gives the numerical expectation of expr under the assumption that x follows the probability distribution dist.NExpectation[expr, ...
Expectation[expr, x \[Distributed] dist] gives the expectation of expr under the assumption that x follows the probability distribution dist. Expectation[expr, x ...