Density, cumulative distribution function, quantile function and random variate generation for many standard probability distributions are available in the stats package.

The functions for the density/mass function, cumulative distribution
function, quantile function and random variate generation are named in the
form `dxxx`

, `pxxx`

, `qxxx`

and `rxxx`

respectively.

For the beta distribution see `dbeta`

.

For the binomial (including Bernoulli) distribution see
`dbinom`

.

For the Cauchy distribution see `dcauchy`

.

For the chi-squared distribution see `dchisq`

.

For the exponential distribution see `dexp`

.

For the F distribution see `df`

.

For the gamma distribution see `dgamma`

.

For the geometric distribution see `dgeom`

. (This is also
a special case of the negative binomial.)

For the hypergeometric distribution see `dhyper`

.

For the log-normal distribution see `dlnorm`

.

For the multinomial distribution see `dmultinom`

.

For the negative binomial distribution see `dnbinom`

.

For the normal distribution see `dnorm`

.

For the Poisson distribution see `dpois`

.

For the Student's t distribution see `dt`

.

For the uniform distribution see `dunif`

.

For the Weibull distribution see `dweibull`

.

For less common distributions of test statistics see
`pbirthday`

, `dsignrank`

,
`ptukey`

and `dwilcox`

(and see the
‘See Also’ section of `cor.test`

).

`RNG`

about random number generation in R.

The CRAN task view on distributions, https://CRAN.R-project.org/view=Distributions, mentioning several CRAN packages for additional distributions.