exponentialDistribution -- exponential distribution

Usage:

exponentialDistribution lambda
Inputs:
- lambda, a number, the rate parameter (positive);
Outputs:
- a continuous probability distribution,

Description

The exponential distribution, the waiting time between events in a Poisson process, where lambda is the expected number of events in one unit of time.

i1 : X = exponentialDistribution 0.25

o1 = Exp(.25)

o1 : ContinuousProbabilityDistribution

i2 : density_X 2

o2 = .1516326649281584

o2 : RR (of precision 53)

i3 : probability_X 3

o3 = .5276334472589853

o3 : RR (of precision 53)

i4 : quantile_X 0.4

o4 = 2.043302495063963

o4 : RR (of precision 53)

i5 : random X

o5 = 8.928947989904163

o5 : RR (of precision 53)

Ways to use exponentialDistribution:

exponentialDistribution(Number)

For the programmer

The object exponentialDistribution is a method function.

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/Probability.m2:1112:0.