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)

Arguments

x,q vector of quantiles.
p vector of probabilites.
n number of observations.
mean vector of means.
sd vector of standard deviations.

Description

These functions provide information about the normal distribution with mean equal to mean and standard deviation equal to sd. dnorm gives the density, pnorm gives the distribution function qnorm gives the quantile function and rnorm generates random deviates.

If mean or sd are not specified they assume the default values of 0 and 1, respectively.

The normal distribution has density

f(x) = 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.

See Also

runif and .Random.seed about random number generation, and dlnorm for the Lognormal distribution.

Examples

dnorm(0) == 1/ sqrt(2*pi)
dnorm(1) == exp(-1/2)/ sqrt(2*pi)
dnorm(1) == 1/ sqrt(2*pi*exp(1))

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