## The Binomial Distribution

## Usage

    dbinom(x, size, prob)
    pbinom(q, size, prob)
    qbinom(p, size, prob)
    rbinom(n, size, prob)

## Arguments

`x,q` | vector of quantiles.
`p` | vector of probabilities.
`n` | number of observations to generate.
`size` | number of trials.
`prob` | probability of success on each trial.

## Value

These functions provide information about the binomial distribution with parameters `size` and `prob`. `dbinom` gives the density, `pbinom` gives the distribution function `qbinom` gives the quantile function and `rbinom` generates random deviates.

The binomial distribution with `size` = n and `prob` = p has density

p(x) = Choose(n,x) p^x (1-p)^(n-x)

for x = 0, ..., n.

## See Also

`dnbinom` for the negative binomial, and `dpois` for the Poisson distribution.

## Examples

    # Compute P(45 < X < 55) for X Binomial(100,0.5)
    sum(dbinom(46:54, 100, 0.5))

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