# Norm-class

From distr v2.3.1
by Peter Ruckdeschel

##### Class "Norm"

The normal distribution has density
$$f(x) =
\frac{1}{\sqrt{2\pi}\sigma} e^{-(x-\mu)^2/2\sigma^2}$$
where $\mu$ is the mean of the distribution and
$\sigma$ the standard deviation.
C.f. `rnorm`

- Keywords
- distribution

##### Objects from the Class

Objects can be created by calls of the form `Norm(mean, sd)`

.
This object is a normal distribution.

##### Extends

Class `"AbscontDistribution"`

, directly.
Class `"UnivariateDistribution"`

, by class `"AbscontDistribution"`

.
Class `"Distribution"`

, by class `"AbscontDistribution"`

.

##### concept

- absolutely continuous distribution
- Gaussian distribution
- Normal distribution
- S4 distribtution class
- location scale family

##### See Also

`UniNormParameter-class`

`AbscontDistribution-class`

`Reals-class`

`rnorm`

##### Examples

```
N <- Norm(mean=1,sd=1) # N is a normal distribution with mean=1 and sd=1.
r(N)(1) # one random number generated from this distribution, e.g. 2.257783
d(N)(1) # Density of this distribution is 0.3989423 for x=1.
p(N)(1) # Probability that x<1 is 0.5.
q(N)(.1) # Probability that x<-0.2815516 is 0.1.
mean(N) # mean of this distribution is 1.
sd(N) <- 2 # sd of this distribution is now 2.
M <- Norm() # M is a normal distribution with mean=0 and sd=1.
O <- M+N # O is a normal distribution with mean=1 (=1+0) and sd=sqrt(5) (=sqrt(2^2+1^2)).
```

*Documentation reproduced from package distr, version 2.3.1, License: LGPL-3*

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