NProbability

NProbability[pred,xdist]
gives the numerical probability for an event that satisfies the predicate pred under the assumption that x follows the probability distribution dist.

NProbability[pred,{x1,x2,}dist]
gives the numerical probability that an event satisfies pred under the assumption that follows the multivariate distribution dist.

NProbability[pred,{x1dist1,x2dist2,}]
gives the numerical probability that an event satisfies pred under the assumption that , , are independent and follow the distributions , , .

NProbability[pred1pred2,]
gives the numerical conditional probability of given .

Details and OptionsDetails and Options

  • can be entered as x EscdistEsc dist or .
  • can be entered as EsccondEsc or .
  • NProbability works like Probability except numerical summation and integration methods are used.
  • For a continuous distribution dist, the probability of pred is given by where is the probability density function of dist and the integral is taken over the domain of dist.
  • For a discrete distribution dist, the probability of pred is given by where is the probability density function of dist and the summation is taken over the domain of dist.
  • NProbability[pred,{x1dist1,x2dist2}] corresponds to NProbability[NProbability[pred,x2dist2],x1dist1] so that the last variable is summed or integrated first.
  • N[Probability[]] calls NProbability for probabilities that cannot be done symbolically.
  • The following options can be given:
  • AccuracyGoaldigits of absolute accuracy sought
    PrecisionGoalAutomaticdigits of precision sought
    WorkingPrecisionMachinePrecisionthe precision used in internal computations
    MethodAutomaticwhat method to use
Introduced in 2010
(8.0)