Binomial {base}

R Documentation

The Binomial Distribution

Usage

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

Arguments

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

Value

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

The binomial distribution has density

p(x) = {n \choose x} {p}^{x} {(1-p)}^{n-x}

for x = 0, \ldots, n.

Examples

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

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