normalDistribution -- normal distribution

Usage:

normalDistribution(mu, sigma)
Inputs:
- mu, a number, the mean;
- sigma, a number, the standard deviation (positive);
Outputs:
- a continuous probability distribution,

Description

The normal distribution with mean mu and standard deviation sigma.

i1 : X = normalDistribution(30, 5)

o1 = N(30,5)

o1 : ContinuousProbabilityDistribution

i2 : density_X 25

o2 = .04839414490382868

o2 : RR (of precision 53)

i3 : probability_X 35

o3 = .8413447460685429

o3 : RR (of precision 53)

i4 : quantile_X 0.75

o4 = 33.37244875098041

o4 : RR (of precision 53)

i5 : random X

o5 = 30.93436236939618

o5 : RR (of precision 53)

With no arguments, the standard normal distribution with mean 0 and standard deviation 1 is returned.

i6 : Z = normalDistribution()

o6 = N(0,1)

o6 : ContinuousProbabilityDistribution

i7 : quantile_Z 0.975

o7 = 1.959963984540054

o7 : RR (of precision 53)

The source of this document is in /__w/M2/M2/macaulay2-1.26.05+ds/M2/Macaulay2/packages/Probability.m2:1147:0.