TITLE(Normal @@ The Normal Distribution)
USAGE(
dnorm(x, mean=0, sd=1)
pnorm(q, mean=0, sd=1)
qnorm(p, mean=0, sd=1)
rnorm(n, mean=0, sd=1)
)
ALIAS(dnorm)
ALIAS(pnorm)
ALIAS(qnorm)
ALIAS(rnorm)
ARGUMENTS(
ARG(x,q @@ vector of quantiles.)
ARG(p @@ vector of probabilites.)
ARG(n @@ number of observations.)
ARG(mean @@ vector of means.)
ARG(sd @@ vector of standard deviations.)
)
DESCRIPTION(
These functions provide information about the normal distribution
with mean equal to LANG(mean) and standard deviation equal to
LANG(sd).  LANG(dnorm) gives the density, LANG(pnorm) gives the
distribution function LANG(qnorm) gives the quantile function and
LANG(rnorm) generates random deviates.
PARA
If LANG(mean) or LANG(sd) are not specified they assume the default
values of LANG(0) and LANG(1) respectively.
PARA
The normal distribution has density
DEQN(
f(x) = OVER(1 @@ SQRT(2 greekpi) greeksigma)
SUP(e@@DISPLAYSTYLE( - SUP((x - greekmu)@@2) / 2 SUP(greeksigma @@  2)))
@@
f(x) = 1/(sqrt(2 pi) sigma)
           e^-((x - mu )^2/(2 sigma^2))
)
where EQN(greekmu) is the mean of the distribution
and EQN(greeksigma) the standard deviation.
)
