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

for x = 0, ..., n.

Examples

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