.BG
.FN Normal
.FN dnorm
.FN pnorm
.FN qnorm
.FN rnorm
.TL
Normal Distribution
.CS
dnorm(q, mean=0, sd=1)
pnorm(q, mean=0, sd=1)
qnorm(p, mean=0, sd=1)
rnorm(n, mean=0, sd=1)
.AG q
vector of quantiles.
Missing values (`NA's) are allowed.
.AG p
vector of probabilities.
Missing values (`NA's) are allowed.
.AG n
sample size.
If `length(n)' is larger than 1, then `length(n)' random values are returned.
.AG mean
vector of means.
.AG sd
vector of (positive) standard deviations.
.br
.ne 4
.RT
density (`dnorm'),
probability (`pnorm'),
quantile (`qnorm'), or
random sample (`rnorm')
for the normal distribution with mean and standard deviation
parameters `mean' and `sd'.
.SP
.Tr
The density function is given by
.sp
.EQ
delim $$
f sub m,s ( q ) ~=~
1 over { sqrt { 2 pi } s } exp "{" - { 1 } over { 2 s sup 2 }
( q - m ) sup 2 "}" ,
~~~ s  ~>~ 0,
.EN
.sp
where $m$ and $s$ are the `mean' and `sd' parameters.
.En
.SE
The function `rnorm' causes creation of the dataset `.Random.seed' if it does
not already exist, otherwise its value is updated.
.EX
rnorm(20,0,10) #sample of 20, mean 0, standard dev. 10
.KW distribution
.EQ
delim off
.EN
.WR
