Core Algorithms

Compute the Probability of an Event

Compute the probabilities of events in parametric, nonparametric, derived, or formula distributions.

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probabilities = {HoldForm[

Probability[E^(2 x) > 25,

x \[Distributed] PoissonDistribution[\[Lambda]]]],

HoldForm[

Probability[(x - 1)^2 + Abs[x] <= 3 x,

x \[Distributed] NormalDistribution[0, 1]]],

HoldForm[

Probability[

x <= 2 \[And] y <= 3, {x, y} \[Distributed]

MultivariatePoissonDistribution[1, {2, 3}]]],

HoldForm[

Probability[

1/3 < x < 1/2 && 1/7 < y^2 + z < 11/13, {x, y, z} \[Distributed]

DirichletDistribution[{2, 3, 4, 7}]]],

HoldForm[

Probability[23 < x^2 + x < 54,

x \[Distributed]

TruncatedDistribution[{3, 11}, ExponentialDistribution[2]]]],

HoldForm[

Probability[x^5 + 3 x > 166,

x \[Distributed]

EmpiricalDistribution[{1, 2, 4 E, 5, 7 Pi, 9}]]],

HoldForm[

Probability[E^x < 2,

x \[Distributed]

ProbabilityDistribution[3/4 (x^2 + 2 x), {x, 0, 1}]]],

HoldForm[

NProbability[

x^2 + y^3 < 2 \[And] x + y < 1, {x, y} \[Distributed]

BinormalDistribution[1/2]]]};

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